Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)Rough singular integrals on Herz-type Triebel-Lizorkin space and Herz-type Besov space
孙彦灵,江寅生
摘要(Abstract):
研究由Th f(x)=Rn h(|x-y|)|x(x-y|yn)f(y)dy定义的粗糙核奇异积分算子Th在一些函数空间上的有界性,并分别证明了Th在Herz型Triebel-Lizorkin空间和Herz型Besov空间的有界性.
关键词(KeyWords): 粗糙核奇异积分算子;Herz型Triebel-Lizorkin空间;Herz型Besov空间
基金项目(Foundation): Supported by NSFC Grant(10861010)
作者(Author): 孙彦灵,江寅生
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