√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Stein E.M. Ч Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscilattory Integrals
Stein E.M. Ч Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscilattory Integrals



ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscilattory Integrals

јвтор: Stein E.M.

язык: en

–убрика: ћатематика/јнализ/ѕродвинутый анализ/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1993

 оличество страниц: 695

ƒобавлена в каталог: 02.04.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
$A_2$      194 216Ч217 225Ч226
$A_p$ weights      193Ч227
$A_u$      56 197 214Ч216
$A_{\infty}$      196 201Ч203 212Ч214 218 219 225
$A_{\infty}$ and BMO      141 177 197 218 219 225
$A_{\infty}$ and maximal functions      195 198Ч203
$A_{\infty}$ and real-variable structures      223
$A_{\infty}$ and singular integrals      204Ч211 221
$A_{\infty}$, $ML^p(\omega)$      210 222
$A_{\infty}$, duality      194
$A_{\infty}$, extrapolation theorem      223
$A_{\infty}$, factorization      216Ч217
$A_{\infty}$, functions in      218
$A_{\infty}$, interpolation      218
$A_{\infty}$, overspill      202 212Ч214 218
$A_{\infty}$, relative      219 (see also УSeverse Holder inequalitiesФ)
$F^{p,q}_{\gamma}$ (Triebel Ч Lizorkin spaces)      264 319
$H^1$      88 91Ч92 128
$H^1$ and BMO      142Ч144 163Ч165 178 183
$H^1$ and Fourier integral operators      402Ч405 410Ч411 428
$H^1$ and VMO      180
$H^1$, atomic decomposition      77 142 147
$H^1$, atoms      91 129
$H^1$, dense subspace $H^1_{\alpha}$      142
$H^1$, functions in      137 178
$H^1$, martingale      188 (see also УSingular integralsФ)
$H^n$ (Heisenberg group)      5 11 517 527Ч588 594Ч618 627Ч635
$H^n$ (Heisenberg group) and rotational curvature      495
$H^n$ (Heisenberg group) as translations of $\mathcal{U}^n$      530
$H^n$ (Heisenberg group), approximation by      631 639Ч640
$H^n$ (Heisenberg group), balls $B(x,\delta)$      542
$H^n$ (Heisenberg group), dilations      541
$H^n$ (Heisenberg group), Fourier transform      569Ч573 583
$H^n$ (Heisenberg group), Haar measure      531
$H^n$ (Heisenberg group), heat equation      632Ч633 642Ч643
$H^n$ (Heisenberg group), Lie algebra $h^n$      543Ч547 584
$H^n$ (Heisenberg group), multiplication law      530
$H^n$ (Heisenberg group), multipliers      642
$H^n$ (Heisenberg group), nonstandard dilations      620
$H^n$ (Heisenberg group), norm $\rho$      541 638
$H^n$ (Heisenberg group), polar coordinates      542
$H^n$ (Heisenberg group), radial functions      583
$H^n$ (Heisenberg group), representations      551 568Ч569 577 598 635
$H^n$ (Heisenberg group), restriction theorems      642
$H^n$ (Heisenberg group), Riesz transforms      605Ч608
$H^n$ (Heisenberg group), singular integrals      536Ч543 557Ч568 580Ч581 586
$H^n$ (Heisenberg group), vector fields X, Y, Z, T      544Ч547 584 597 598
$H^p$ (Hardy spaces)      4 87Ч138
$H^p$ (Hardy spaces) and $L^p$      87 91 92
$H^p$ (Hardy spaces) and $M_{\Phi}$ ($\Phi$ singular)      130Ч131
$H^p$ (Hardy spaces) and Fourier transform      128
$H^p$ (Hardy spaces) and harmonic functions      88 118Ч127 133Ч134
$H^p$ (Hardy spaces) and real-variable structures      186 (see also УSingular integralsФ)
$H^p$ (Hardy spaces) and weights      223
$H^p$ (Hardy spaces), atomic decomposition      105Ч112 137 182
$H^p$ (Hardy spaces), atoms      105Ч106 112 130
$H^p$ (Hardy spaces), boundary values      127
$H^p$ (Hardy spaces), definitions      87
$H^p$ (Hardy spaces), dense subspaces      109Ч112 128 133
$H^p$ (Hardy spaces), distributions in      88 129 131
$H^p$ (Hardy spaces), duals for p < 1      130
$H^p$ (Hardy spaces), maximal characterization      90Ч101 131
$H^p$ (Hardy spaces), norm $|| ||_{H^p}$      100
$H^p$ (Hardy spaces), product theory      138
$H^p$ (Hardy spaces), topology      100 127
$H^p_{loc}$ (local $H^p$)      134 264
$H^p_{loc}$ (local $H^p$), distributions in      135Ч136 429
$l^p$      4 13
$L^p_k$ (Sobolev spaces)      251Ч252 634
$L^p_k$ and $F^{p,q}_{\gamma}$      264
$L^p_k$ and $L^{p,q}$      265
$L^p_k$ and $\Lambda^{p,q}_{\gamma}$      264
$L^p_k$ and tangential approach      79
$L^p_k$, nonisotropic $NL^p_k$      606Ч610 634
$L^{p,q}$ (Lorentz spaces)      36 265 418 526
$NL^p_k$      see У$L^p_k$Ф
$S^m$ (usual symbols)      229 232Ч263
$S^m$ (usual symbols) and BMO      264
$S^m$ (usual symbols) and singular integrals      235 241Ч249
$S^m$ (usual symbols) on $H^1$      402Ч403
$S^m$ (usual symbols) on $H^p$      264
$S^m$ (usual symbols) on $L^2$      234Ч237
$S^m$ (usual symbols) on $L^p$      250
$S^m$ (usual symbols) on $L^p_k$      251Ч252 (see also УPseudo-differential operatorsФ)
$S^m$ (usual symbols) on $\Lambda_{\gamma}$      253Ч257
$S^m$ (usual symbols) on S      232
$S^m$ (usual symbols), $S^{-\infty}$      261
$S^m$ (usual symbols), adjoints      259 554
$S^m$ (usual symbols), calculus      237Ч241 579
$S^m$ (usual symbols), change of variables      259
$S^m$ (usual symbols), commutators      261 308Ч312
$S^m$ (usual symbols), dyadic decomposition      243Ч245 253Ч257
$S^m$ (usual symbols), homogeneity      262
$S^m$ (usual symbols), kernels      235 241Ч245 262
$S^m$ (usual symbols), symmetric $S^m_{sym}$      579
$S^m_{1,1}$ (forbidden symbols)      270Ч275
$S^m_{1,1}$ (forbidden symbols) and singular integrals      269 302 324
$S^m_{1,1}$ (forbidden symbols) on $L^2$      272Ч273
$S^m_{1,1}$ (forbidden symbols) on $L^p_k$      319
$S^m_{1,1}$ (forbidden symbols) on $\Lambda_{\gamma}$      274Ч275
$S^m_{1,1}$ (forbidden symbols), dyadic decomposition      271Ч275
$S^m_{1,1}$ (forbidden symbols), kernels      271
$S^m_{\rho,\delta}$ (exotic symbols)      271
$S^m_{\rho,\delta}$ (exotic symbols) on $L^2$      319
$S^m_{\rho,\delta}$ (exotic symbols) on $L^p$      322Ч323
$S^m_{\rho,\delta}$ (exotic symbols) on S      271
$S^m_{\rho,\delta}$ (exotic symbols), calculus      320
$S^m_{\rho,\delta}$ (exotic symbols), examples      277Ч278
$S^m_{\rho,\delta}$ (exotic symbols), frequency decomposition      319
$S^m_{\rho,\rho}$ (exotic symbols)      276 282Ч288
$S^m_{\rho,\rho}$ (exotic symbols) on $L^2$      282Ч288 323
$S^m_{\rho,\rho}$ (exotic symbols) on $L^p_k$      319
$S^m_{\rho,\rho}$ (exotic symbols), dyadic decomposition      286Ч288
$S^m_{\rho,\rho}$ (exotic symbols), examples      276Ч277 585Ч586
$S^m_{\rho,\rho}$ (exotic symbols), frequency decomposition      282Ч285
$S^{M,m}_{\Phi,\phi}$      320Ч321
$T_a$ (operator w/symbol a)      231
$\bar{\partial}$-complex      591Ч592
$\bar{\partial}$-Neumann problem      587 592 627Ч631
$\bar{\partial}$-Neumann problem and integral formulas      631
$\bar{\partial}$-Neumann problem and strong pseudoconvexity      631
$\bar{\partial}$-Neumann problem and weak pseudoconvexity      631
$\bar{\partial}$-Neumann problem, sharp estimates      631
$\bar{\partial}$-Neumann problem, solution on $\mathcal{U}^n$      630
$\bar{\partial}_b$-complex      592Ч595
$\Lambda_{\gamma}$ (Lipschitz spaces)      130 253Ч257 274
$\Lambda_{\gamma}$ (Lipschitz spaces), $\Lambda^{p,q}_{\gamma}$      264 319
$\Lambda_{\gamma}$ (Lipschitz spaces), nonisotropic $\Gamma_{\gamma}$ (Lipschitz spaces)      634
$\mathcal{H}^p$ (holomorphic $H^p$)      131Ч132 137 226
$\mathcal{H}^p$ (holomorphic $H^p$), $\mathcal{H}^2($\mathcal{U}^n$)$      532Ч541
$\mathcal{H}^p$ (holomorphic $H^p$), boundary values      532Ч535
$\mathcal{N}$ (tent spaces)      58Ч65 77Ч78
$\mathcal{N}$ (tent spaces) and Carleson measures      59Ч61 63 77 161Ч163
$\mathcal{N}$ (tent spaces), $\mathcal{N}^2$      161Ч164
$\mathcal{N}$ (tent spaces), $\mathcal{N}^p_r$      180Ч184
$\mathcal{N}$ (tent spaces), atomic decomposition      63Ч65 77 181Ч182
$\mathcal{N}$ (tent spaces), atoms      63 181
$\mathcal{S}$ (Schwartz class)      88
$\mathcal{S}'$ (tempered distributions)      89
$\mathcal{S}_{\mathcal{F}}$      90
$\mathcal{U}^n$ (upper half-space)      528Ч543 587
$\mathcal{U}^n$ (upper half-space), $b\mathcal{U}^n$ (boundary)      529 545Ч547 641Ч642
$\mathcal{U}^n$ (upper half-space), $\bar{\partial}$-Neumann problem      627Ч631
$\mathcal{U}^n$ (upper half-space), $\mathcal{H}^2(\mathcal{U}^n)$      532Ч541
$\mathcal{U}^n$ (upper half-space), automorphism group      574Ч576
$\mathcal{U}^n$ (upper half-space), coordinates $[\zeta,t, r]$      531 628
$\mathcal{U}^n$ (upper half-space), defining function r(z)      530
$\mathcal{U}^n$ (upper half-space), dilations      530 538
$\mathcal{U}^n$ (upper half-space), equivalence with ball      529
$\mathcal{U}^n$ (upper half-space), measure $d\beta$      532
$\mathcal{U}^n$ (upper half-space), rotations      530
$\mathcal{U}^n$ (upper half-space), translation group $H^n$      530
$\mathfral{L}$ (sub-Laplacian)      39 46 636 642
$\mathfral{L}_{\alpha}$      588 596Ч610 628Ч630 632Ч635
$\mathfral{L}_{\alpha}$, forbidden values      598
$\mathfral{L}_{\alpha}$, fundamental solution $F_{\alpha}$      598Ч602 632
$\mathfral{L}_{\alpha}$, hypoellipticity      604 635
$\mathfral{L}_{\alpha}$, invertibility      598 635
$\mathfral{L}_{\alpha}$, local solvability      602Ч604
$\mathfral{L}_{\alpha}$, relative solution      615Ч618 634
$\mathfral{L}_{\alpha}$, sharp regularity      609Ч610
$\mathfral{L}_{\alpha}$, solution operator $S_{\alpha}$      602
$\mathfral{L}_{\alpha}$, symmetry      596 599 633Ч634
$\zeta$-convexity      48
a(x, D) (operator w/symbol a)      231
Approximations of the identity      23Ч24 56 198 242
Approximations of the identity and singular integrals      81
Approximations of the identity, relations between      93Ч94 138
Approximations of the identity, singular      71Ч75 80Ч83 130Ч131 481
Approximations of the identityon homogeneous groups      638
Area integral      47 182Ч184
Area integral and $H^p$      124Ч127
Atomic decomposition in $H^1$      77 142 147
Atomic decomposition in $H^p$      105Ч112 137 182
Atomic decomposition in $L^1$      129
Atomic decomposition in $L^p$ (p > 1)      112 185
Atomic decomposition in $N^p$      181Ч182
Atomic decomposition in N      63Ч65 77
Atomic decomposition, localized      137
Atoms in $H^1$      91 129
Atoms in $H^p$      105Ч106 112 130
Atoms in $N^p$      181
Atoms in N      63
Averages over hypersurfaces      467Ч472 493Ч511 517Ч525
Averages over hypersurfaces and $L^p_k$      370Ч372 517
Averages over hypersurfaces and averages over submanifolds      467Ч469
Averages over hypersurfaces and Fourier integral operators      360 496 517
Averages over hypersurfaces in $\mathbb{R}^2$      519Ч523
Averages over hypersurfaces on $L^1$      503
Averages over hypersurfaces, $L^2$ estimates      469Ч471 501Ч502 504Ч507
Averages over hypersurfaces, $L^p$ estimates      370Ч372 471Ч472 499 503 507
Averages over hypersurfaces, curvature has zeros      512 518
Averages over hypersurfaces, definability on $L^p$      508Ч509
Averages over hypersurfaces, dilated      510Ч511
Averages over hypersurfaces, dimension restrictions      471Ч472 502 509Ч510
Averages over hypersurfaces, finite type      518
Averages over hypersurfaces, sharp exponents      471Ч472
Averages over hypersurfaces, smoothing      173Ч174 370Ч372 517
Averages over hypersurfaces, spheres      131 173Ч174 395 399 469Ч472 518Ч519 523
Averages over hypersurfaces, variable      493Ч499
Averages over measures on universal variety      486Ч489
Averages over measures, $L^2$ estimates      487Ч488 511
Averages over measures, $L^p$ estimates      486Ч489 514
Averages over measures, cancellation conditions      513
Averages over measures, Fourier transform      486 513
Averages over measures, lifting technique      483Ч486
Averages over rectangles and averages over hypersurfaces      467Ч469
Averages over rectangles and real-variable structures      473 478
Averages over rectangles and singular Radon transforms      513Ч517
Averages over rectangles, $L^1$ estimates      526
Averages over rectangles, $L^2$ estimates      472Ч476 478Ч479
Averages over rectangles, $L^p$ estimates      476Ч482 485Ч486 490Ч493
Averages over rectangles, algebraic varieties      477 485Ч486
Averages over rectangles, angles and bounds      464Ч466
Averages over rectangles, arbitrary orientations      445Ч446 449 455
Averages over rectangles, convex      525Ч526
Averages over rectangles, definability on $L^p$      492Ч493
Averages over rectangles, eccentricity and bounds      419 464Ч466
Averages over rectangles, finite type      476Ч477 490Ч493
Averages over rectangles, infinitely flat      493 512Ч513 525Ч526
Averages over rectangles, lacunary orientations      459Ч464
Averages over rectangles, on $L^1$      493
Averages over rectangles, parabola      472Ч476
Averages over rectangles, singularities      493
Averages over rectangles, universal variety      477Ч482
Averages over rectangles, unrotated      83Ч85 446Ч447 458
Averages over rectangles, variable      516Ч517
Averages over submanifolds      467Ч469 472Ч493 512Ч517
Balls      8Ч9
Balls, equivalence      10
Balls, examples      9Ч12 37Ч39 41 361 473 478 542 620
Besicovitch set      433Ч440 445 453Ч456 510
Besicovitch set, higher-dimensional analogues      455
Bessel functions      131 338 347 356Ч357 390 395 426 430
BMO (bounded mean oscillation)      139Ч180 300Ч305
BMO (bounded mean oscillation) and $A_p$      141 177 197 218 219 225
BMO (bounded mean oscillation) and $H^1$      142Ч144 163Ч165 178 183
BMO (bounded mean oscillation) and Carleson measures      158Ч173 180Ч184 303
BMO (bounded mean oscillation) and Fourier integral operators      411 427
BMO (bounded mean oscillation) and harmonic functions      165
BMO (bounded mean oscillation) and homeomorphisms of $\mathbb{R}^n$      180 219
BMO (bounded mean oscillation) and square functions      158Ч173 180Ч184
BMO (bounded mean oscillation), distance to $L^{\infty}$      180 186
BMO (bounded mean oscillation), dyadic      154 173
BMO (bounded mean oscillation), functions in      140Ч141 177Ч179
BMO (bounded mean oscillation), local      264
BMO (bounded mean oscillation), martingale      188
BMO (bounded mean oscillation), orthogonal expansions      166Ч173 (see also УSingular integralsФ)
BMO (bounded mean oscillation), weak topology      166 186 301
Bochner Ч Riesz means      388Ч394 418Ч423
Bochner Ч Riesz means and $H^p$      131
Bochner Ч Riesz means and restriction theorems      422
Bochner Ч Riesz means in $\mathbb{R}^2$      412Ч414 418Ч420
Bochner Ч Riesz means in $\mathbb{R}^n$, n > 3      423
Bochner Ч Riesz means on compact manifolds      431
Bochner Ч Riesz means, analogue for cones      521
Bochner Ч Riesz means, kernel      390 430
Bochner Ч Riesz means, maximal      420Ч423
Bochner Ч Riesz means, sharp exponents      389 414 430
Bounded distribution      89
Bounds independent of dimension      523Ч525
Brownian motion      189 642Ч643
Bump functions      293
Bump functions and $S^m$      262
Bump functions and $\mathcal{M}_F$      100 (see also УRestricted boundednessФ)
Bump functions and BMO      300Ч301
Bump functions and singular integrals      248Ч249 293Ч295
Calderon Ч Zygmund decomposition      16Ч18 20 51 101Ч105 110 138 150 431
Calderon Ч Zygmund kernels      289 305
Calderon Ч Zygmund operators      191 325
Calderon Ч Zygmund, symbolic calculus      268
Campbell Ч Hausdorff formula      584 635
Cancellation conditions      26 248 562 622
Cancellation conditions and averages over measures      513
Cancellation conditions for $S^m$      262
Cancellation conditions for atoms      see УMoment conditionsФ
Cancellation conditions, necessity      289Ч292 305Ч308
Cancellation conditions, special $T1 = T^{\ast}l = 0$      295 299 624
Cancellation conditions, sufficiency      305Ч308\
Canonical coordinates      584 636
Canonical transformations      396
Carleman estimates      370
Carleson measures      58Ч59 78 314
Carleson measures and $\mathcal{N}$      59Ч61 63 77 161Ч163
Carleson measures and BMO      158Ч173 180Ч184 303
Carleson measures and weights      225
Carleson measures, operator $\mathfrak{T}$      162Ч163 181Ч183
Carleson measures, space $\mathcal{C}$      59
Cauchy integral      310Ч316
Cauchy Ч Riemann operators      589Ч592
Cauchy Ч Riemann operators, tangential      545Ч547 592Ч593
Cauchy Ч Szego projection      5 532Ч543
Cauchy Ч Szego projection and $\mathfrak{L}_{\alpha}$      601 615Ч618
Cauchy Ч Szego projection and Lewy example      611Ч618
Cauchy Ч Szego projection on $L^2$      537
Cauchy Ч Szego projection on $L^p$      541Ч543
Cauchy Ч Szego projection, Fourier transform      573
Cauchy Ч Szego projection, kernel      277 536Ч541 575Ч577 580 585 601
Characteristic polynomial      231
Commutation relations      545 546 548Ч549 593
1 2 3
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2020
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте