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

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

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

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

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

Dual definition of capacity      21 34 35 106 107 118 220 311 326
Dual space of $C_{0}(\Omega)$       2
Dual space of $L^{1}(\Lambda^{(\infty)}_{N - \alpha})$       212
Dual space of $L^{p}(C_{\alpha, p})$       202
Dual space of $L^{p}(E)$       2
Dual space of Besov space $B^{p, q}_{\alpha}$       87
Dual space of Bessel potential space $L^{\alpha, p}$       13
Dual space of C(K)      2
Duality between $L^{-\alpha, p^{'}}$ and $L^{\alpha, p}$       188
Dyadic ball      1
Dyadic cubes      16 73 76 111 246 282 302
Dyadic Hausdorff measure      302
Dyadic sequences      116
Dyn'kin, E.M.      303
Dynkin, E.B.      48 51
Egorov theorem, extended      26
Elliptic equation      182
Elliptic equation in non-divergence form      182
Elliptic equation of higher order      183
Elliptic equation, degenerate      182 185
Elliptic equation, quasilinear      48 51 166 182
Elliptic equation, semi-linear      183
Elliptic linear operator      47 65 319
Embedding      see "Imbedding"
Energy integral      17 120
Energy integral, generalized      22 36 106—108 119 120
Energy, mutual      24 105 117 119
Equilibrium measure      17
Equilibrium potential      17
Equivalence of $C_{\alpha, p}$ and $N_{\alpha, p}$       65
Equivalence of $C_{\alpha, p}$ and C( $\cdot$ ; $F^{p, q}_{\alpha}$ )      107
Equivalent capacities      20 65 105 153
Equivalent norm on $L^{\alpha, 2}$       68
Equivalent norm on $L^{\alpha, p}$       72 122
Equivalent norm on Besov space      87 89 111 113
Equivalent norm on Lizorkin — Triebel space      97 102 111 113
Equivalent sets      176
Evans, G.C.      50 152 153 185
Evans, L.C.      152 181 182 238
Exceptional set      49
Exponential estimate of potential      55 56 81 210
Exponential estimate of potential, sharp      58 81
Extension of Lipschitz mapping      140
Extension, domain      7 227
Extension, operator      7 227
Exterior cone condition      245
Extremal function      18 20 21 46 106—108 167
Extremal function in Moser inequality      81
Extremal length      42
Extremal measure      35 108 119
Extremal problem      48
Extremal sequence      119
Fabes, E.B.      182 185
Falconer, K.J.      152
Fan, K.      50
Faraday Cage      327
Federer, H.      140 181 185 325
Fefferman — Stein theorem      3 98 101 102 104 112 116 122 125 207 282 285
Fefferman, C.      3 4 83 210
Fefferman, R.      212
Fernstroem, C.      324 325
Fine boundary      184
Fine closure      176 184
Fine closure, capacity of      179
Fine continuity      155 156 176 185 186 318
Fine continuity and quasicontinuity      177 178
Fine continuity, explicit condition for      180
Fine differentiability      184
Fine differential      184
Fine Dirichlet problem      278
Fine interior      176
Fine neighborhood      164 176
Fine topology      156 164 176
Fine topology, comparison of      184
Fine topology, connectedness in      184
Finely closed set      176
Finely isolated point      176
Finely open set      176
Folland, G.B.      7 20 236 279
Fontana, L.      82
Forsling, G.      302
Fourier inversion formula      5
Fourier transform      5
Fourier transformation      5
Fractional maximal function      3 54 210
Fractional maximal function and capacity      151
Fractional maximal function and potential      72 75 78
Frazier, M.      80 126 127 212 214
Friedrichs, K.      278
Frostman theorem      129 136 151 193
Frostman, O.      V 40 48 136 152 156 185 186
Fuglede, B.      VI 24 49 50 127 152 153 184—186 278 279
Fukushima, M.      48
Functions that operate      62
Functions that operate on $L^{\alpha, p}$       80
Functions that operate on $W^{2, p}_{+}$       80
Functions that operate on $W^{\alpha, p}$       62
Functions that operate on $\mathcal{G}_{\alpha}L^{2}_{+}$       68
Functions that operate on $\mathcal{G}_{\alpha}L^{p}_{+}$       63
Functions that operate on $\mathcal{I}_{\alpha}L^{p}_{+}$       65
Functions that operate on nonlinear potential      262
Fundamental solution      8 9 47 319
Gagliardo, E.      79
Gamelin, T.W.      326
Garcia-Cuerva, J.      83
Gariepy, R.F.      152 181—183 238
Garofalo, N.      182
Garroni, A.      325
Garsia, A.M.      81
Gauss theorem      17
Gauss, C.F.      V 17 48
Giaquinta, M.      79 89
Gilbarg, D.      81 82
Gol'dshtein, V.M.      152
Gonchar, A.A.      324 327
Good $\lambda$ inequality      72 73
Gossez, J.-P.      82
Green function      308 312
Grun-Rehomme, M.      208
Hadamard, J.      303
Hahn decomposition theorem      208
Hahn — Banach theorem      14
Hanin, L.G.      303
Hanner, O.      15
Hansson, K.      214
Hardy space      VIII 92 126
Hardy — Littlewood maximal function      3
Hardy — Littlewood — Wiener theorem      3
Hardy — Sobolev space      80 303
Hardy, G.H.      3 81
Harmonic measure      VIII 312
Harnack property      257 259 262
Harvey, R.      50 51
Hatano, K.      153 184
Hausdorff capacity      132
Hausdorff capacity, dyadic      212
Hausdorff content      132 136 325
Hausdorff content and ( $\alpha$ , p)-capacity      134 137 139 152
Hausdorff content and Besov capacity      152
Hausdorff content and quasicontinuity      180
Hausdorff dimension      133
Hausdorff measure      VII 132 152 237 301
Hausdorff measure and ( $\alpha$ , p)-capacity      129 151
Hausdorff measure of Cantor set      143 153
Hausdorff measure, dyadic      302
Havin, V.P.      VI 49—51 152 153 185 279 324 326 327
Heard, A.      183
Heat equation      182
Hedberg, L.I.      50 67 79 81 82 126 127 153 183—186 231 278—280 302 325—327
Heinonen, J.      VIII 48 184 185

Heisenberg group      182
Helms, L.L.      48 185
Hempel, J.A.      81
Hestenes theorem      7 142
Hestenes, M.R.      7
Hewitt, E.      14
Hilbert transform      5
Hilbert, D.      V
Hirschman, I.I.      79
Hoelder space      79
Hoermander condition      6 94
Hoermander, L.      2 4—6 8 47 50 93 125 126 278 307 319 326
Homogeneous seminorm      8
Hypoellipticity      319
Ideal      293 294
Ideal in $C^{m}$       281 293 303
Ideal in C      293 303
Ideal in Sobolev algebras      303
Ideal, local      293
Ideal, Whitney theorem      281 293 303
Imbedding of $W^{1, p}_{0}(G)$ in $L^{1}_{loc}$       307
Imbedding of $W^{\alpha, 1}$       212
Imbedding of Morrey — Campanato space      79
Imbedding, compactness of      187 195 198
Imbedding, continuity of      187 191 193 210
Imbedding, upper triangle case      211
Indiana University Union      82
Inhomogeneous maximal function      3 210
Instability of capacity      314 324 325
Integrability with respect to capacity      187 212
Integral inequalities      56
Interior cone condition      243
Interpolation inequality      56 57 78
Irregular set      164
Janson, S.      80
Jawerth, B.      83 126 127 212 214
Jerison, D.S.      182
John, F.      8 20 47
Jones, P.W.      7 280
Jonsson, A.      214
Kahane, J.-P.      51 82
Kaneko, H.      48
Kateb, M.E.D.      80
Katznelson, Y.      89 91 279
Keldysh, M.V.      312 326
Kellogg property      155 165 175 185 238 241 277 280 282 318 324 327
Kellogg, O.D.      48 185
Kenig, C.E.      182
Kerman, R.      83 153 210 214
Kernel      24
Kernel on $\mathbf{R}^{N} \times \mathbf{N} \times \mathbf{Z}^{N}$       117 121
Kernel on $\mathbf{R}^{N} \times \mathbf{R}^{N} \times \mathbf{N}$       104
Kernel, general      24
Kernel, Newton      8
Kernel, radially decreasing convolution      38 129 134 135 187 189 191 195 214
Kernel, regular      50
Kernel, singular Riesz      5
Kernel, truncated      196
Khanin, L.G.      see "Hanin L.G."
Khavin, V.P.      see "Havin V.P."
Khinchin inequality      93 96 125
Khinchin, A.Ya.      93
Khruslov, E.Ya.      325
Khvoles, A.A.      326
Kilpelaeinen, T.      VIII 48 166 182 183 185
Kinderlehrer, D.      50 82 279
Kirszbraun, M.D.      140
Kneser, H.      50
Koethe, G.      14
Kolsrud, T.      278 325
Kuznetsov, S.E.      51
Lanconelli, E.      182
Landes, R.      82
Landis, E.M.      182
Landkof, N.S.      9 40 48 49 150 185 211
Laplace equation      V 165
Laplace equation, p-      VIII 166 182
Laplace operator      2
Laplace operator, p-      VIII 20
Laplace operator, powers of      5 9 47
Laplacian      see "Laplace operator"
Laurent expansion      311
Lavrent'ev, M.A.      312
Lebesgue point      158 180 181 185 219 234 239 246 283 299 301 315
Lebesgue point and atomic representation      282
Lebesgue point in $L^{q}$ -sense      159
Lebesgue, H.      50
Leibniz rule      158 241
Levi, Beppo      7
Lewis, John L.      126 184
Lindberg, Per      325 327
Lindeloef property, quasi-      184
Lindeloef, E.      325
Lindqvist, P.      182 183
Lions, J.L.      V 7 50 82 185 186 278 302 307 308 326
Lipschitz domain      7
Lipschitz mapping      129 152
Lipschitz mapping, extension of      140
Littlewood — Paley theorem      92
Littlewood, J.E.      3 81
Littman, W.      50 51 82 181 182
Lizorkin — Triebel nonlinear potential      108
Lizorkin — Triebel space      VII 80 85 91 125 233 301—303
Lizorkin — Triebel space, atomic representation      111 113
Lizorkin — Triebel space, Bessel potential space as      92 281
Lizorkin — Triebel space, equivalent norm      97 102 111 113
Lizorkin — Triebel space, homogeneous      92
Lizorkin — Triebel space, potential representation      105
Lizorkin — Triebel space, representation theorem      103 104
Lizorkin — Triebel space, strong type inequality in      204
Lizorkin — Triebel space, trace space of      212
Lizorkin, P.I.      125
Local degree of approximation      85 122
Loewner, C.      49
Loomis, L.H.      303
Lower semicontinuity      3
Lukes, J.      186
Luzin, N.N.      50
Lyons, T.      184
Lysenko, Yu.A.      324 327
Macdonald function      11
Magenes, E.      302
Malgrange, B.      303
Malliavin, P.      48 279
Maly, J.      166 181—183 185 186
Marchenko, V.A.      325
Marcinkiewicz multiplier theorem      126
Marcinkiewicz, J.      126
Maria, A.J.      40
Marschall, J.      302
Marshall, D.E.      81
Martio, O.      VIII 48 182 183 185
Mateu, J.      302 303 325
Mattila, P.      325
Maximal function      3 54 159 260 284
Maximal function, estimate of convolution      102
Maximal function, Hardy — Littlewood      3
Maximal function, inhomogeneous      3 74 210
Maximal function, Peetre      97
Maximal function, vector valued      3
Maximum principle      40 82 279
Maz'ya — Kilpelaeinen — Maly theorem      166 182
Maz'ya, V.G.      VI VIII 7 14 48—51 79 80 82 152 153 166 181—183 185 209—215 226 231 303 326 327
Mazur Lemma      15 27 266 274 276
Measure in $(B^{p, q}_{-\alpha})_{+}$       90 110 126
Measure in $(F^{p, q}_{-\alpha})_{+}$       102 103 110 126
Measure in $(L^{-\alpha, p})_{+}$       103 110 126
Measure, absolutely continuous w.r.t. ( $\alpha$ , p)-capacity      187 208
Measure, equilibrium      17
Mel'nikov, M.S.      326

1 2 3 4

О проекте