Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures

被引：0
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作者：
Yanlong Shi
Xiangxing Tao
Taotao Zheng
机构：
[1] Zhejiang Pharmaceutical College,Department of Fundamental Courses
[2] Zhejiang University of Science & Technology,Department of Mathematics
[3] Ningbo University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Euclidean Space; Function Space; Similar Argument; Lebesgue Measure; Potential Operator;
D O I：
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摘要：
The authors consider the multilinear Riesz potential operator defined by [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] denotes the [inline-graphic not available: see fulltext]-tuple [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] the nonnegative integers with [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] is a nonnegative [inline-graphic not available: see fulltext]-dimensional Borel measure. In this paper, the boundedness for the operator [inline-graphic not available: see fulltext] on the product of homogeneous Morrey-Herz spaces in nonhomogeneous setting is found.
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