BMO and Singular Integrals over Certain Disconnected Groups
Author(s): Zhu Yueping, Zheng Weixing
Pages: 37-42
Year: 2000 Issue: 1
Journal: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
Keyword: singular integral; BMO; weighted inequality;
Abstract: In this paper the authors study proprieties of certain convolution operators on L∞(G) and weighted BMO(α)(G) spaces,where G is a locally compact totally disconnected group with a suitable sequence of open compact subgroups. The authors prove that if the kernel satisfies certain conditions, then the convohution operator is bounded from L∞ to BMO(α) or from BMO(α) to BMO(α).
Pages: 37-42
Year: 2000 Issue: 1
Journal: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
Keyword: singular integral; BMO; weighted inequality;
Abstract: In this paper the authors study proprieties of certain convolution operators on L∞(G) and weighted BMO(α)(G) spaces,where G is a locally compact totally disconnected group with a suitable sequence of open compact subgroups. The authors prove that if the kernel satisfies certain conditions, then the convohution operator is bounded from L∞ to BMO(α) or from BMO(α) to BMO(α).
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