Weighted Variable Sobolev Spaces and Capacity

被引：32

作者：

Aydin, Ismail ^{[1
]}

机构：

[1] Sinop Univ, Fac Arts & Sci, Dept Math, TR-57000 Sinop, Turkey

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

NORM INEQUALITIES; LEBESGUE SPACES; EXPONENT; OPERATORS;

D O I：

10.1155/2012/132690

中图分类号：

学科分类号：

摘要：

We define weighted variable Sobolev capacity and discuss properties of capacity in the space W-1,W-p(.) (R-n,w). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on the space W-1,W-p(.) (R-n,w). Also it is shown the relation between the Sobolev capacity and Bessel capacity.

引用

页数：17

共 50 条

[1] WEIGHTED SOBOLEV SPACES AND CAPACITY
KILPELAINEN, T
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1994, 19 (01): : 95 - 113
[2] WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES
Unal, Cihan
Aydin, Ismail
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 36 (02): : 373 - 388
[3] On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces
Unal, C.
Aydin, I.
ANALYSIS MATHEMATICA, 2020, 46 (01) : 147 - 167
[4] On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces
C. Unal
I. Aydin
Analysis Mathematica, 2020, 46 : 147 - 167
[5] Quasicontinuity on Weighted Sobolev Spaces with Variable Exponent
Pinhong LONG
Huili HAN
Journal of Mathematical Research with Applications, 2016, 36 (06) : 659 - 664
[6] Weighted Sobolev theorem in Lebesgue spaces with variable exponent
Samko, N. G.
Samko, S. G.
Vakulov, B. G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (01) : 560 - 583
[7] Weighted Sobolev theorem in Lebesgue spaces with variable exponent: corrigendum
Samko, N. G.
Samko, S. G.
Vakulov, B. G.
ARMENIAN JOURNAL OF MATHEMATICS, 2010, 3 (02): : 92 - 97
[8] Density of smooth functions in weighted Sobolev spaces with variable exponent
M. D. Surnachev
Doklady Mathematics, 2014, 89 : 146 - 150
[9] COMPACT EMBEDDINGS ON A SUBSPACE OF WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES
Unal, Cihan
Aydin, Ismail
ADVANCES IN OPERATOR THEORY, 2019, 4 (02) : 388 - 405
[10] ON DENSITY OF SMOOTH FUNCTIONS IN WEIGHTED SOBOLEV SPACES WITH VARIABLE EXPONENTS
Zhikov, V. V.
Surnachev, M. D.
ST PETERSBURG MATHEMATICAL JOURNAL, 2016, 27 (03) : 415 - 436

← 1 2 3 4 5 →