FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES

被引：18

作者：

Gunawan, H. ^{[1
]}

Sawano, Y. ^{[2
]}

Sihwaningrum, I. ^{[1
,3
]}

机构：

[1] Bandung Inst Technol, Dept Math, Bandung 40132, Indonesia

[2] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan

[3] Gen Soedirman Univ, Dept Math, Purwokerto 53122, Indonesia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 80卷 / 02期

基金：

日本学术振兴会;

关键词：

fractional integral operators; generalized Morrey spaces; nondoubling measures; Olsen's inequality; MORREY SPACES;

D O I：

10.1017/S0004972709000343

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss here the boundedness of the fractional integral operator I-alpha and its generalized version on generalized nonhomogeneous Morrey spaces. To prove the boundedness of I-alpha, we employ the boundedness of the so-called maximal fractional integral operator I-alpha,I-kappa*. In addition, we prove an Olsen-type inequality, which is analogous to that in the case of homogeneous type.

引用

页码：324 / 334

页数：11

共 20 条

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