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

被引：2
|
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
收藏
页码：303 / 311
页数：9
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