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

共 41 条

[1] Generalized Riesz potentials of functions in Morrey spaces L(1,φ;κ)(G) over non-doubling measure spaces
Sawano, Yoshihiro
Shigematsu, Masaki
Shimomura, Tetsu
FORUM MATHEMATICUM, 2020, 32 (02) : 339 - 359
[2] ROUNDEDNESS OF GENERALIZED RIESZ POTENTIALS OF FUNCTIONS IN MORREY SPACES L(1,φ:κ) (G) OVER NON-DOUBLING MEASURE SPACES
Sawano, Yoshihiro
Shimomura, Tetsu
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (02): : 577 - 599
[3] Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces
Sawano, Yoshihiro
Shimomura, Tetsu
GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (03) : 433 - 439
[4] Sobolev embeddings for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces over non-doubling measure spaces
Sawano, Yoshihiro
Shimomura, Tetsu
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (12) : 976 - 991
[5] Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces
Takao Ohno
Tetsu Shimomura
Czechoslovak Mathematical Journal, 2014, 64 : 209 - 228
[6] Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces
Ohno, Takao
Shimomura, Tetsu
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) : 209 - 228
[7] Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure
Kokilashvili, Vakhtang
Meskhi, Alexander
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (8-10) : 923 - 936
[8] Generalized fractional integral operators over non-doubling metric measure spaces
Sawano, Yoshihiro
Shimomura, Tetsu
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (07) : 534 - 546
[9] Sobolev's inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces
Sawano, Yoshihiro
Shimomura, Tetsu
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013, : 1 - 19
[10] Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces
Yoshihiro Sawano
Tetsu Shimomura
Journal of Inequalities and Applications, 2013

← 1 2 3 4 5 →