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A Characterization of Besov Spaces of Para-Accretive Type and Its Application

A Characterization of Besov Spaces of Para-Accretive Type and Its Application
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摘要 There are two folds in this article. One fold is to characterize the Besov spaces of para-accretive type , which reduces to the classical Besov spaces when the para-accretive function is constant, by using a discrete Calderón-type reproducing formula and Plancherel-P?lya-type inequality associated to a para-accretive function b in Rn. The other is to show that a generalized singular integral operator T with extends to be bounded from for and , where ε is the regularity exponent of the kernel of T. There are two folds in this article. One fold is to characterize the Besov spaces of para-accretive type , which reduces to the classical Besov spaces when the para-accretive function is constant, by using a discrete Calderón-type reproducing formula and Plancherel-P?lya-type inequality associated to a para-accretive function b in Rn. The other is to show that a generalized singular integral operator T with extends to be bounded from for and , where ε is the regularity exponent of the kernel of T.
出处 《Applied Mathematics》 2017年第4期590-606,共17页 应用数学(英文)
关键词 BESOV SPACE Calderón Reproducing FORMULA Para-Accretive Function Tb THEOREM TRIEBEL-LIZORKIN SPACE Besov Space Calderón Reproducing Formula Para-Accretive Function Tb Theorem Triebel-Lizorkin Space
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