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| Авторизация |
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| Rao M.M., Ren Z.D. — Applications of Orlicz spaces |
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| Предметный указатель |
 -valued integrable function 265
 -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  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  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,  -type 356
Strong (p, q)-type, (p, q)-norm 192
Strong (p, q)-type, convergence of  -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 -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,  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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