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

• 作者: Junxian Li Kunchuan Wang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: BESOV SPACE Calderón Reproducing FORMULA Para-Accretive Function Tb THEOREM TRIEBEL-LIZORKIN SPACE
• 年，卷（期）: yysxyw_2017,（4）
• 页码范围: 590-606
• 页数: 17页
• 分类号: O1

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.