EMBEDDINGS AND REGULARITY OF POTENTIALS IN GRAND VARIABLE EXPONENT FUNCTION SPACES

被引：0

作者：

Edmunds, David E. ^{[1
]}

Makharadze, Dali ^{[2
]}

Meskhi, Alexander ^{[3
,4
]}

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9QH, England

[2] Batumi Shota Rustaveli State Univ, Dept Math, 35-32 Ninoshvili Rustaveli Str, Batumi 6010, Georgia

[3] Kutaisi Int Univ, Youth Ave,Turn 5-7, Kutaisi 4600, Georgia

[4] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Merab Aleksidze 2 Lane, Tbilisi 0193, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2023年 / 177卷 / 02期

关键词：

Grand variable exponent Hajlasz-Morrey spaces; Holder spaces; Spaces of homogeneous type; Embedding; Maximal operator; Sobolev embeddings; MORREY SPACES; MAXIMAL FUNCTIONS; SOBOLEV SPACES; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, grand variable exponent Hajlasz-Morrey spaces are introduced and embeddings from these spaces to Holder spaces are established under the log-Holder continuity condition on exponents. The boundedness of the fractional integral operator from a grand variable exponent Morrey space to a grand variable parameter Holder space is also proved. In general, the function spaces are defined on quasi-metric measure spaces, however, the results are new even for the Euclidean spaces.

引用

页码：309 / 314

页数：6

共 22 条

[1]

Almeida A, 2008, GEORGIAN MATH J, V15, P195

[2] Embeddings of variable Hajlasz-Sobolev spaces into Holder spaces of variable order [J].