Singular integral operators on product domains along twisted surfaces

doi:10.1007/s11464-021-0911-z

Front. Math. China

2021, Vol. 16

Issue (1) : 13-28 https://doi.org/10.1007/s11464-021-0911-z

RESEARCH ARTICLE

Singular integral operators on product domains along twisted surfaces

Ahmad AL-SALMAN(

)

Department of Mathematics, Sultan Qaboos University, Sultanate, Oman Department of Mathematics, Yarmouk University, Irbid, Jordan

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Abstract

We introduce a class of singular integral operators on product domains along twisted surfaces. We prove that the operators are bounded on L^p provided that the kernels satisfy weak conditions.

Keywords Singular integral operators on product domains rough kernels L^p estimates Hardy Littlewood maximal function truncated maximal singular integrals twisted surfaces block spaces

Corresponding Author(s): Ahmad AL-SALMAN

Issue Date: 26 March 2021

Cite this article:

Ahmad AL-SALMAN. Singular integral operators on product domains along twisted surfaces[J]. Front. Math. China, 2021, 16(1): 13-28.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0911-z
https://academic.hep.com.cn/fmc/EN/Y2021/V16/I1/13

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