Adams D.R., Hedberg L.I. — Function spaces and potential theory :: Электронная библиотека попечительского совета мехмата МГУ

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Adams D.R., Hedberg L.I. — Function spaces and potential theory

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Название: Function spaces and potential theory

Авторы: Adams D.R., Hedberg L.I.

Аннотация:

Proceedings of the Edinburgh Mathematical Society

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 382

Добавлена в каталог: 21.01.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Thin set, definition of ( $\alpha$ , p)-      166
Thin set, history of      185
Thin set, necessary and sufficient condition for      168 225
Thin set, Wiener criterion for      165 166
Thinness, weighted      185
Thomson, J.E.      326
Tietze extension theorem      187 202
Titchmarsh, E.C.      11
Topological degree theory      82
Torchinsky, A.      4
Trace      125 155 219
Trace inequality      187 191 193 210 214
Trace inequality, history of      213
Trace inequality, upper triangle case      211
Trace of function in $L^{\alpha, p}$       158 234
Trace of potential      191—193 195 198 210
Trace of potential, exponential estimate of      210
Trace on boundary      236
Trace operator      234 287 301 318
Trace operator, kernel of      VII 233 234 281
Trace space, invariance of      212 213
Trace theorem, Sobolev      236 278
Treves, F.      279
Triebel, H.      125 126 302
Triviality of $L^{q}_{a}(G)$       306 326
Triviality of capacity      38 189
Trudinger inequality      81
Trudinger, N.S.      81 82
Truncated kernel      196
Truncation      62 80 82 213 239 279 317 324
Turesson, B.O.      83 185
Two weight inequalities      83
Ugaheri, T.      50
Uniform boundedness principle      14
Uniform convexity      14 22 46
Uniformly thick set      242 243
Uniqueness theorem for fine Dirichlet problem      278
Uniqueness theorem for higher order Dirichlet problem      236 237 278
Uniqueness theorem of Brelot      278
Uniqueness theorem of Sobolev      237 278
Uniqueness, set of      314
Unspecified positive constants      1
Vaeisaelae, J.      49
Value in sense of Lebesgue      283 see
Vasilesco, F.      50
Verbitsky, I.E.      83 126 210 211
Verdera, J.      302 303 326
Vitali lemma, simple      16
Vitushkin approximation scheme      325
Vitushkin, A.G.      324 326 327
Vivaldi, M.A.      182
Vodop'yanov, S.K.      49 185

Von Neumann minimax theorem      see "Minimax theorem"
von Neumann, J.      50
Wallin, H.      151 153 185 214
Walsh, J.L.      325
Watson, G.N.      11 12
Wavelet      127
Weak closure of convex set      15
Weak derivative      7
Weak type capacitary estimate      159 169 264 272
Weak type inequality      56 188 189 192
Weak* $L^{\infty}$       279
Weak* compactness      14
Weak* topology      2
Webb, J.R.L.      82
Weight function      42 279 280 324
Weighted inequalities      210
Weighted Sobolev space      185
Weighted thinness      185
Weinberger, H.      181 182
Weiss, G.      4 127
Welland, G.      83 126
Wermer, J.      48
Weyl lemma      306 313 319
Wheeden, R.L.      53 83
Whitney decomposition      16 73 75 263 265 272
Whitney ideal theorem      281 293 303
Whitney, H.      16 281 293 303
Wiener criterion      165 185 186 282
Wiener criterion for higher order equations      183
Wiener criterion for nonlinear potentials      183 185 186
Wiener criterion for obstacle problems      182
Wiener criterion for parabolic equations      182
Wiener criterion for quasilinear equations      166 182 183
Wiener criterion of Maz'ya — Kilpelaeinen — Maly      166 182
Wiener criterion, extensions of      181
Wiener lemma      16
Wiener Tauberian theorem      89
Wiener theorem      89 91 125
Wiener, N.      3 16 165 185
Wildenhain, G.      279 327
Wolff inequality      85 109 126 138 140 153 186 195 198 214
Wolff potential      45 109 110 167 168 323
Wolff potential and atomic nonlinear potential      119 121
Wolff potential and fine continuity      180
Wolff potential and zero trace      246
Wolff potential, homogeneous      109 110
Wolff potential, local version      183
Wolff, Th.H.      85 126 127 175 186 280 327
Yang, P.C.      81 82
Young inequality, W.H.      4
Yudovich, V.L      81 210
Ziemer, W.P.      VIII 7 14 61 152 164 181—183 185 215 226 231 238 303
Zygmund, A.      4 6 81 126

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