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Musielak J. — Orlicz Spaces and Modular Spaces
Musielak J. — Orlicz Spaces and Modular Spaces



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Название: Orlicz Spaces and Modular Spaces

Автор: Musielak J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 222

Добавлена в каталог: 09.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\rho$-base      26
$\rho$-closure      19
$\sigma$-absorbed family      136
$\sigma$-absorbing family      136
Base, modular      27
Base, non-weaker modular      27
Bases, equivalent modular      27
Bimodular      15
Bipseudomodular      15
Class, $\Phi$      33
Class, ${\mathfrak M}(\Omega)$ of functions      100
Class, ${\mathfrak M}_{1}(\Omega)$ of functions      100
Class, ${\mathfrak M}_{2}(\Omega)$ of functions      101
Class, conjugate      171
Class, generalized Orlicz sequence, ${l}_{0}^{\varphi}$      34
Class, generalized Orlicz, ${L}_{0}^{\varphi}$      33
Class, Hardy-Orlicz      144
Class, N      144
Class, N'      144
Class, Orlicz      34
Condition, $({\Delta}_{2})$      52 54
Condition, $({\sigma}_{2})$      52
Condition, $\gamma$      61
Contraction, $(\rho, \sigma)$      21
Contraction, restricted $(\rho, \sigma)$      21
Convergence, $\rho$      18
Convergence, modular      18
Convergence, modular $\gamma$      169
Convergence, with respect to a filter      23
Element, finite of ${L}^{\phi}$      33
Element, null of X      166
Equation modular      151
Equisplittable family of measures      120
F-operation      10
Family of modulars depending on a parameter      129
Filter      23
Function, $\alpha$-weaker      137
Function, $\tau$-bounded      37
Function, $\tau$-inte mediate      94
Function, $\varphi$      4
Function, $\varphi$-absolutely continuous      182
Function, ${\tau}_{+}$-bounded      41
Function, ${\tau}_{-}$-bounded      41
Function, associated      84
Function, complementary      83 84
Function, F-superadditive      11
Function, locally integrable      34
Function, logarithmically convex      142
Function, Musielak-Orlicz      174
Function, N      82 175
Function, N'      175
Function, N''      175
Function, non-we alter      43
Function, of exponential type      117
Function, Orlicz      174
Function, s-convex      5
Function, Steklov      61
Function, type of a      118
Function, uniformly convex      75
Functional, associa'ted subadditive modular      167
Functional, subadditive modular      167
Functions, $\mu$-equimeasurable      81
Functions, equivalent      54
Functions, s-equivalent      54
Galb      178
Genfunction      173
Genfunction, pre-      173
Indices Matuszewska-Orlicz      172
Inequality, Young      83
Isomorphism, Riesz      187
Kernel, Ceskro, of order r      121
Kernel, s-singular      42
Kernel, singular      38
Lattice, convex Orlicz      187
Lattice, F      187
Lattice, Orlicz      187
Map, $(\rho,\sigma)$-bounded      21
Map, $(\rho,\sigma)$-continuous      21
Map, strongly $(\rho,\sigma)$-bounded      21
Modular      1
Modular, (F,s)      12
Modular, associated      168
Modular, character of a      166
Modular, conjugate      8
Modular, normal      165
Modular, pure      166
Modular, uniformly convex      75
Modulus, T, of smoothness      25
Neighbourhood, $\rho,$ of zero      36
Norm      2
Norm, Amemiya      7
Norm, f      2
Norm, first      168
Norm, Luxemburg      7
Norm, Orlicz      9 85
Norm, s      2
Norm, second      168
Norms, equicontinuous      55
Operator, convolution      38
Operator, sublinear      101
Operator, translation      37 41 58
Operator, W-bounded      23
Property, majorant      77
Pseudomodular      1
Pseudomodular, (F,s)      11
Pseudomodular, continuous      4
Pseudomodular, convex      1
Pseudomodular, disjointly additive      77
Pseudomodular, left-continuous      4 11
Pseudomodular, right-continuous      4
Pseudomodular, s-convex      1
Pseudonorm, F      2
Pseudonorm, s      2
Scale, $\sigma$-modular      166
Scale, decreasing      166
Scale, modular      166
Semigroup, preordered      166
Semimodular      1
Semimodular, (F,s)      12
Sequence, $\gamma$-convergent      169
Sequence, $\rho$-convergent      18
Sequence, B-convergent      18
Sequence, constant preserving, of modulars      159
Sequence, modular convergent      18
Sequence, of modulars, singular at a point      160
Sequence, singular, of modulars      160
Sequential $\rho$-base, in ${X}_{\rho}$      36
Sequential modular base      27
Set, $\rho$-bounded      19 169
Set, $\rho$-closed      13
Set, $\rho$-compact      19
Set, $\rho$-dense      19
Set, absorbing, in ${X}_{\rho}$      26
Set, balanced, in ${X}_{\rho}$      26
Set, bimodular      15
Set, of parameters      129
Set, relatively $\rho$-compact      19
Space, $\rho$-separable      19
Space, ${E}^{\phi}$      33
Space, ${\nu}_{\varphi}$ of functions of finite generalized $\varphi$-variation      69
Space, bimodular      16
Space, countably modulared      112
Space, F-modular      12
Space, Fenchel-Orlicz      174
Space, generalized modular      28
Space, generalized modular vector      167
Space, generalized Orlicz sequence, ${l}^{\varphi}$      34
Space, generalized Orlicz, ${L}^{\varphi}$      33 176
Space, generalized Orlicz-Sobolev, ${W}_{\varphi}^{k}(\Omega)$      66
Space, Hardy-Orlicz      144
Space, intermediate      191
Space, interpolation      191
Space, measure      4
Space, modular      2
Space, modular function      173
Space, modular sequence      173
Space, Musielak-Orlicz      173
Space, Nakano      164
Space, Orlicz sequence      5
Space, Orlicz, ${L}^{\phi}$      5 34
Space, rotund      185
Space, strictly convex      185
Space, two-modular      169
Space, uniformly convex Banach      74
Space, uniformly countably modulared      112
Space, universally continuous semi-ordered linear      164
Theorem, interpolation      101
Topological base      31
Uniformly bounded family of measures      120
Unit, weak      187
Variation, $\varphi$      6
Variation, generalized, $\varphi$      69
Variation, q-integral $\varphi$      18
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