Boundedness of singular integral operators with variable kernels

Ming Yi Lee, Chin Cheng Lin, Ying Chieh Lin, Dunyan Yan

研究成果: 雜誌貢獻期刊論文同行評審

7 引文 斯高帕斯(Scopus)

摘要

Let K be a generalized Calderón-Zygmund kernel defined on Rn × (Rn {set minus} {0}). The singular integral operator with variable kernel given byT f (x) = p.v. under(∫, Rn) K (x, x - y) f (y) d y is studied. We show that if the kernel K (x, y) satisfies the Lq-Hörmander condition with respect to x and y variables, respectively, then T is bounded on Lwp. If we add an extra Dini type condition on K, then we may show the Hwp - Lwp boundedness of T.

原文???core.languages.en_GB???
頁(從 - 到)787-796
頁數10
期刊Journal of Mathematical Analysis and Applications
348
發行號2
DOIs
出版狀態已出版 - 15 12月 2008

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