Boundedness Properties of Pseudo-Differential and Calderón-Zygmund Operators on Modulation Spaces

被引：0
作者：
Mitsuru Sugimoto
Naohito Tomita
机构：
[1] Osaka University,Department of Mathematics, Graduate School of Science
来源：
Journal of Fourier Analysis and Applications | 2008年 / 14卷
关键词：
Calderón-Zygmund operators; Modulation spaces; Pseudo-differential operators; 42B20; 42B35; 47G30;
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学科分类号：
摘要：
In this article, we study the boundedness of pseudo-differential operators with symbols in Sρ,δm on the modulation spaces Mp,q. We discuss the order m for the boundedness Op(Sρ,δm)⊂ℒ(Mp,q) to be true. We also prove the existence of a Calderón-Zygmund operator which is not bounded on the modulation space Mp,q with q≠2. This unboundedness is still true even if we assume a generalized T(1) condition. These results are induced by the unboundedness of pseudo-differential operators on Mp,q whose symbols are of the class S1,δ0 with 0<δ<1.
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页码：124 / 143
页数：19
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