Orlicz-Morrey Spaces and Fractional Operators

被引：123

作者：

Sawano, Yoshihiro ^{[1
]}

Sugano, Satoko ^{[2
]}

Tanaka, Hitoshi ^{[3
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[2] Kobe City Coll Technol, Nishi Ku, Kobe, Hyogo 6512194, Japan

[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

POTENTIAL ANALYSIS | 2012年 / 36卷 / 04期

基金：

日本学术振兴会;

关键词：

Orlicz-Morrey space; Generalized fractional integral operator; Generalized fractional maximal operator; Orlicz maximal operator; Trace inequality; Olsen's inequality; Wiener-Stein equivalence; MAXIMAL FUNCTIONS;

D O I：

10.1007/s11118-011-9239-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By taking an interest in a natural extension to the small parameters of the trace inequality for Morrey spaces, Orlicz-Morrey spaces are introduced and some inequalities for generalized fractional integral operators on Orlicz-Morrey spaces are established. The local boundedness property of the Orlicz maximal operators is investigated and some Morrey-norm equivalences are also verified. The result obtained here sharpens the one in our earlier papers.

引用

页码：517 / 556

页数：40

共 19 条

[1]

Adams DR, 2004, INDIANA U MATH J, V53, P1629

[2]

ADAMS DR, 1975, DUKE MATH J, V42, P765, DOI 10.1215/S0012-7094-75-04265-9

[3]

[Anonymous], 2004, BANACH FUNCTION SPAC

[4]

Garcia-Cuerva J., 1985, MATH STUDENT, V116