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Rao M.M., Ren Z.D. — Applications of Orlicz spaces
Rao M.M., Ren Z.D. — Applications of Orlicz spaces

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Название: Applications of Orlicz spaces

Авторы: Rao M.M., Ren Z.D.

Аннотация:

Presents previously unpublished material on the fundamental principles and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 485

Добавлена в каталог: 15.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\chi$-valued integrable function      265
$\phi$-function      227
A.a. (=almost all)      242
ABK-theorem      263
Admissible mean      287
Annihilator      245
Approximate identity      224
Associated intermediate N-function      38
Asymptotic diameter      76
Banach lattice      150
Banach — Mazur distance      74
Besov — Orlicz space      311
Best predictor      237
Beurling algebra      382
Beurling — Orlicz algebra      382
Bounded sequence coefficient      75
Brownian motion      273
Caratheodory function      368
Cauchy’s equation      329
CBS-Inequality      213
Chebyshev center      120
Chebyshev center, inequality      288
Chebyshev center, radius      117
Chebyshev center, set      244
Chebyshev center, subspace      246
Clarkson’s inequality      41
Complementary N-function      2
Complementary N-function, subspace      245
Concave function      411
Conditional median      253
Conjugate function      191
Conjugate function, Fourier series      232
Contraction principle      277
Cramer’s theorem      284
Cumulant generating function      276
De la Vallee Poussin’s theorem      323
Decreasing rearrangement      207
Dirichlet’s equation      327
Dirichlet’s equation, kernel of order n      185
Disintegration of measures      242
Divergence operator      353
Elliptic differential operator      327
Embedding theorem for Orlicz — Sobolev spaces      341
Empiric distribution      276
Empiric distribution, measure      276
Equimeasurable      207
Exponential type N-function      273
F-norm      227
F-norm-property      261
Fenchel — Orlicz space      301
Finite representation      52
Fourier series      184
Franklin functions      312
Frechet space      227
Frechet space, differentiable norm      261
Fundamental function      207
Fundamental theorem      299
Gauge norm      16
Gaussian dichotomy      287
Gaussian dichotomy, probability measure      297
Gaussian dichotomy, process      286
Gauteaux differentiable, function      298
Generalized Orlicz space      227
Generalized Orlicz space, random functional      377
H-property      261
Haar measure      202
Haar measure, system      207
Hadamard matrix      121
Hajek — Feldman theorem      287
Hardy-Littlewood maximal (fractional) operator      356
Harmonic conjugate      191
Hausdorff dimension      347
Hausdorff dimension, metric measure      347
Hausdorff — Young inequality      211
Hilbert — Schmidt operator      291
Hoelder’s inequality      15
Homogeneous Banach space      201
Image measure      277
Independent random variables      273
Intensity parameter      308
Intermediate Young function      36
Ito SDE      312
Jensen’s Inequality      125
Jung constant      117
Kolmogorov’s critetion      304
Kottman constant      148
Kovalevskaya’s theorem      330
Laplace’s principle      285
Laplace’s principle, transform      276
Large deviations      274
Legendre transfoem      276
Lesniewicz condition      233
Lions’ lemma      395
Lipschitz mapping      76
Local boundedness      395
Local boundedness, functional      377
Locally convex vector space      297
Lorentz’s class      364
Loss function      254
Luzin’s conjucture      199
Marcinkiewicz’s theorem      355
Markov inequality      306
Markov inequality, process      343
Martingale convergence theorem      256
Martingale convergence theorem, strong operator      316
Measurable subspace      237
Measure function      192
Median      253
Metrically bounded set      424
Minimum (maximal) conditional, median      316
Modular      13
Modulus of continuity      42
Modulus of continuity, smoothness      42
Moment generating function      276
Morse — Transue space      14
Multiplicator Orlicz space      376
N-function      1
Nemitsky operator      368
Nonexpansive mapping      77
Nonlinear prediction      249
Nonlocally convex space      414
Nonsquare constant (James)      50
Normal structure coefficient      73
Normalized young pair      27
Normalized young pair, action functional      299
Orlicz norm      14
Orlicz norm, sequence space      19
Orlicz norm, space      14
Orlicz norm, space form of the Riesz — Thorin theorem      36
Orlicz-Sobolev space of order m $(\infty)$      331 342
Ornstein — Uhelnbeck process      287
P(3)-convex space      150
Packing constant      147
Paley — Wiener — Zygmund integral      287
Parseval’s formula      214
Poisson integral      199
Poisson integral, random variable      199
Polish measurable space      285
Projective limit      294
Projective limit, system      294
Prokhorov $(\varepsilon, K_{\varepsilon})$ condition      195
Quantitative indices      5
Quasi-complement      237
Quasi-linear mapping      193
Rademacher functions      78
Radon — Nikodym property      260
Random process      236
Rate function      275
Rearrangement invariant, function space      207
Regular conditinal measure      241
Regular conditinal measure, distribution      254
Relative Chebyshev radius      73
Removable singular set      345
Riesz angle      384
Riesz — Koethe function space      244
Rotund (=Strictly convex) space      75
Schauder basis      206
Schilder’s theorem      292
Schur property      76
Self — Jung constant      75
Semi-invariant function      276
Sobolev conjugate function      334
Sobolev conjugate function, embedding theorem      337
Sobolev conjugate function, number      333
Sobolev conjugate function, space      328
Stieltjes integral      230
Stirling approximation      275
Stochastic process      273
Strictly convex N-function      269
Strong (p, q)-type      192
Strong (p, q)-type, $(\Phi_{1}, \Phi_{2})$-type      356
Strong (p, q)-type, (p, q)-norm      192
Strong (p, q)-type, convergence of $\sigma$-algebras      256
Sublinear mapping      207
Super-reflexive space      52
Symmetric function space      207
Tensor product space      37
Topologically bounded set      424
Total subspace      261
Trace $\sigma$-algebra      14
Twice F-differentiable norm      464
Variation of a vector measure      241
Von Neumann — Jordan constant      51
Weak comparison principle      353
Weak comparison principle, $-L^{1}-$inequality      229
Weak comparison principle, (p, q)-norm      192
Weak comparison principle, convergent sequence coefficient      76
Weak comparison principle, orthogonality property      384
Weakly uniformly convex      405
Weakly* uniformly convex      405
Weighted Hoelder inequality      383
Weighted Hoelder inequality, Orlicz space      383
Yosida — Hewitt decomposition      317
Young’s function      28
Young’s function, inequality      2
Young’s function, unconditional basis      206
Young’s function, uniformly convex space      42
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