EXPONENTIAL INTEGRABILITY FOR LOGARITHMIC POTENTIALS OF FUNCTIONS IN GENERALIZED LEBESGUE SPACES L(log L)q(.) OVER NON-DOUBLING MEASURE SPACES

被引：1

作者：

Kanemori, Sachihiro ^{[1
]}

Ohno, Takao ^{[2
]}

Shimomura, Tetsu ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

[2] Oita Univ, Fac Educ & Welf Sci, Dannoharu Oita City 8701192, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 06期

关键词：

Exponential integrability; Logarithmic potential; Variable exponent; Metric measure space; Non-doubling measure; CONTINUITY;

D O I：

10.11650/tjm.19.2015.5564

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are concerned with exponential integrability for logarithmic potentials of functions in generalized Lebesgue spaces L(log L)(q(.)) over non-doubling measure spaces. Here q satisfies the loglog-Holder condition.

引用

页码：1795 / 1803

页数：9