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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



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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
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ѕредметный указатель
Pseudo-differential operators, adjoints      233
Pseudo-differential operators, multiplication      231 549
Pseudo-differential operators, multiplier      231 549
Pseudo-differential operators, nonlocal      267Ч268 (see also УSymbols
Pseudo-locality      236 323 396 402
Pseudoconvexity      593Ч594
Qeal-variable structures      4 8Ч9 37Ч41 619
Quantization      548Ч549
Quasi-conformal mappings      41
Quasi-conformal mappings and BMO      180 219
Quasi-distance      10 41 473 478 542
Rademacher functions      457 464
Rectangles      see УAverages over rectanglesФ
Rectangles, dual      419
Rectangles, orientation      445
Rectangles, reach      435 445 453
Restricted boundedness      293Ч297 301 307 310 323Ч326
Restriction theorems      352Ч355 364Ч368 386Ч388
Restriction theorems and Bochner Ч Riesz means      422
Restriction theorems and differential equations      368Ч372
Restriction theorems in $\mathbb{R}^2$      412Ч414 418
Restriction theorems in $\mathbb{R}^n$, n > 3      423
Restriction theorems on $H^n$      642
Restriction theorems on compact manifolds      431
Restriction theorems, curved hypersurfaces      365 386Ч388
Restriction theorems, finite type      352Ч353 418
Restriction theorems, method of $TT^{\ast}$      353 364
Restriction theorems, sharp exponents      352 365 367 387Ч388 414 418 430
Restriction theorems, sphere      365 430
Restriction theorems, unbounded varieties      365Ч368
Reverse Holder inequalities      177 201Ч203 212Ч214 218Ч220 224 225
Riemann singularity      277Ч278 339Ч341 357
Riesz product      40
Riesz representation theorem      143
Riesz transforms      26 317
Riesz transforms and $H^p$      121 123Ч124 134 138
Riesz transforms and BMO      179
Riesz transforms, analogues for $H^n$      605Ч608
Scaled family      496
Schrodinger equation      369 522
Schwartz kernel theorem      261
SchwarzТs inequality      499
Seminorms $||\quad||_{\alpha,\beta}$      89 94 99 294
Sharp function $f^{#}$      146Ч147
Sharp function $f^{#}$ and singular integrals      157Ч158
Sharp function $f^{#}$, $||f||_p\leq c||f^#||_p$      148Ч149
Sharp function $f^{#}$, dyadic $f^{#}_{\Delta}$      151 153Ч155
Singular integrals      3 7Ч8 16Ч36 241Ч249 289Ч316
Singular integrals and $S^m$      235 241Ч249
Singular integrals and $S^m_{1,1}$      269 302 324
Singular integrals and BMO      300Ч305 325
Singular integrals and sharp function $f^#$      157Ч158
Singular integrals and weights      204Ч211 221
Singular integrals on $H^1$      113Ч114 138 178 292 402Ч403
Singular integrals on $H^n$      557Ч568 580Ч581 586
Singular integrals on $H^p$      22 115Ч118
Singular integrals on $L^1$      20Ч22 42
Singular integrals on $L^2$      24Ч30 248Ч249 289Ч317 323Ч326 562Ч567 623Ч627
Singular integrals on $L^p$      18Ч23 567Ч568 623 627
Singular integrals on $L^{\infty}$      42 155Ч157 178 300Ч305 310
Singular integrals on BMO      157 179
Singular integrals on homogeneous groups      622Ч627
Singular integrals, adjoints      36 156 294
Singular integrals, bounds independence of dimension      523Ч525 (see also УCancellation conditionsФ)
Singular integrals, characterize BMO      179 184
Singular integrals, classical      44
Singular integrals, dyadic decomposition      246Ч247 295Ч296
Singular integrals, kernels      18Ч19 24Ч30 45 245Ч249 289Ч293 296 305Ч308
Singular integrals, multipliers      245Ч249 262Ч263
Singular integrals, nondegenerate      210
Singular integrals, product theory      85
Singular integrals, rough kernels      372Ч373
Singular integrals, sharp bounds      42
Singular integrals, truncation      30Ч36 80 204Ч210 222 306Ч308
Singular integrals, vector-valued      28Ч29 46Ч48 74 76
Singular Radon transforms      513Ч517 581 641
Sp(n,R)      577Ч579
Square functions      26Ч29 158Ч173 180Ч184
Square functions and $H^p$      172
Square functions and $\mathcal{N}$      161Ч164 180Ч184
Square functions and averaging operators      487
Square functions and BMO      158Ч173 180Ч184
Square functions and Bochner Ч Riesz means      421
Square functions and dyadic decomposition      267 (see also Уg-functionФ)
Square functions and maximal averages      462Ч463 465 470Ч471 474Ч476 478 480
Square functions and singular integrals      26Ч29 164
Square functions, $\mathfrak{S}(F)$      161Ч164
Square functions, discrete      161
Square functions, martingale      187
Square functions, nondegenerate      46Ч47 158Ч159 170 186
Square functions, nontangential $S_{\Phi}(f)$      27
Square functions, vertical $s_{\Phi}(f)$      27 326
Stationary phase      329 334 344 358
Steepest descent      374
Stopping time      162 179 317
Strong convergence      318
SU(n + l,l)      574
Subharmonicity      122Ч123 133
Submanifolds, definition of integral      498
Symbolic calculus      268
symbols      228 231 261
Symbols, asymptotic expansion      265Ч266
Symbols, compound      258Ч260 553
Symbols, order      232
Symplectic invariance      551 577Ч579
T(b) theorem      316 (see also УCauchy integralФ)
T(l) theorem      293Ч305 310 325
Tent spaces      see У$\mathcal{N}$Ф
Tents T(B)      58Ч61 64 80 125
Trace-class space $C_r$      48
Tube domains      82 132 447Ч449 458Ч459
Twisted convolution      5 552Ч553 556Ч566 581
Unconditional bases      191
V(x,y)      see УVolumeФ
Vector fields      11 38Ч39
Vector fields, bracket      544 (see also УCommutation relationsФ)
Vector fields, exponential mapping      516 584
Vector fields, finite-type condition      38Ч39 516
Vector fields, left-invariant      544
Vector-valued inequalities      47 51 450Ч452
Vector-valued inequalities and weights      222
Vector-valued inequalities on $L^2$      419
Vector-valued inequalities, maximal functions      50Ч56 75Ч76 80 463
Vector-valued inequalities, singular integrals      28Ч29 46Ч48 74 76
VMO (vanishing mean oscillation)      180 224
Volume      8Ч9 29Ч30 42 542
Walsh basis      188
Wave equation      174 368Ч372 395 425 518Ч519
Wave equation in $\mathbb{R}^2$      519Ч523
Wavelets      173 189Ч191
Weak boundedness      310 325
Weak-type (1,1)      20
Weak-type (1,1) and $H^p$      113 137
Weak-type (1,1) and orthogonality      431
Weak-type maximal principle      441Ч444 456Ч458
Weighted inequalities      53Ч56 76 220Ч222 226
Weighted inequalities, equal weights      see У$A_p$Ф
Weyl correspondence Op(a)      549Ч551 553Ч556 577Ч579
WienerТs principle      93
YoungТs inequality      358
Zygmund condition      225
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