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A NOTE TO OSCILLATORY SINGULAR INTEGRALS ON HERZ-TYPE SPACES

A NOTE TO OSCILLATORY SINGULAR INTEGRALS ON HERZ-TYPE SPACES
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摘要 In this paper, we want to improve our previous results. We prove that some oscillatory strong singular integral operators of non-convolution type with non-polynomial phases are bounded from Herz-type Hardy spaces to Herz spaces and from Hardy spaces associated with the Beurling algebras to the Beurling algebras in higher dimensions. In this paper, we want to improve our previous results. We prove that some oscillatory strong singular integral operators of non-convolution type with non-polynomial phases are bounded from Herz-type Hardy spaces to Herz spaces and from Hardy spaces associated with the Beurling algebras to the Beurling algebras in higher dimensions.
出处 《Analysis in Theory and Applications》 2003年第1期37-46,共10页 分析理论与应用(英文刊)
基金 Xu Jingshi is partially supported by the NSF of Hunan,China(01JJY3003) A project supported by Scientific Research Fund of Hunan Provincial Education Department(02C067)
关键词 oscillatory singular integral PHASE Lebesgue space Herz space Beurling algebra Hardy space oscillatory singular integral, phase, Lebesgue space, Herz space, Beurling algebra, Hardy space
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