Generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces

被引：3

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 7398524, Japan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2018年 / 25卷 / 02期

基金：

日本学术振兴会;

关键词：

Sobolev's inequality; Morrey space; Riesz potential; non-doubling measure; CALDERON-ZYGMUND OPERATORS; RIESZ-POTENTIALS;

D O I：

10.1515/gmj-2018-0018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we aim to deal with the boundedness and the weak-type boundedness for the generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces, as an extension of [Y. Sawano and T. Shimomura, Boundedness of the generalized fractional integral operators on generalized Morrey spaces over metric measure spaces, Z. Anal. Anwend. 36 (2017), no. 2, 159-190], [Y. Sawano and T. Shimomura, Generalized fractional integral operators over non-doubling metric measure spaces, Integral Transforms Spec. Funct. 28 (2017), no. 7, 534-546] and [I. Sihwaningrum, H. Gunawan and E. Nakai, Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces, Math. Nachr., to appear].

引用

页码：303 / 311

页数：9

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