Generalized fractional integral operators over non-doubling metric measure spaces

被引：4

作者：

Sawano, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Minami Ohsawa 1-1, Hachioji, Tokyo 1920397, Japan

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

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 07期

基金：

日本学术振兴会;

关键词：

Sobolev's inequality; Morrey space; Riesz potential; non-doubling measure; ORLICZ-MORREY SPACES; RIESZ-POTENTIALS;

D O I：

10.1080/10652469.2017.1318281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall deal with the boundedness and weak-type boundedness for the generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces in this paper. We also discuss a necessary condition for the boundedness of the generalized fractional integral operators.

引用

页码：534 / 546

页数：13

共 50 条

[1] Generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces
Sawano, Yoshihiro
Shimomura, Tetsu
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (02) : 303 - 311
[2] Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces
Sawano, Yoshihiro
Shimomura, Tetsu
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2017, 36 (02): : 159 - 190
[3] Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces
Sihwaningrum, Idha
Gunawan, Hendra
Nakai, Eiichi
[J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (8-9) : 1400 - 1417
[4] Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces
Sawano, Yoshihiro
Shimomura, Tetsu
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (03) : 433 - 439
[5] Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces
Ohno, Takao
Shimomura, Tetsu
[J]. PORTUGALIAE MATHEMATICA, 2022, 79 (3-4) : 265 - 282
[6] Boundedness of Integral Operators in Generalized Weighted Grand Lebesgue Spaces with Non-doubling Measures
Kokilashvili, Vakhtang
Meskhi, Alexander
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (02)
[7] Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
Futamura, Toshihide
Shimomura, Tetsu
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2024,
[8] Boundedness of Integral Operators in Generalized Weighted Grand Lebesgue Spaces with Non-doubling Measures
Vakhtang Kokilashvili
Alexander Meskhi
[J]. Mediterranean Journal of Mathematics, 2021, 18
[9] Trudinger’s Inequality on Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces
Ritva Hurri-Syrjänen
Takao Ohno
Tetsu Shimomura
[J]. Mediterranean Journal of Mathematics, 2023, 20
[10] ON RELATIONS BETWEEN WEAK AND STRONG TYPE INEQUALITIES FOR MAXIMAL OPERATORS ON NON-DOUBLING METRIC MEASURE SPACES
Kosz, Dariusz
[J]. PUBLICACIONS MATEMATIQUES, 2018, 62 (01) : 37 - 54

← 1 2 3 4 5 →