Singular integral operators on product domains along twisted surfaces

Ahmad Al-Salman

doi:10.1007/s11464-021-0911-z

Singular integral operators on product domains along twisted surfaces

Ahmad Al-Salman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	13-28
Number of pages	16
Journal	Frontiers of Mathematics in China
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s11464-021-0911-z
Publication status	Published - Feb 2021
Externally published	Yes

Keywords

42B15
42B20
42B25
block spaces
Hardy Littlewood maximal function
L estimates
rough kernels
Singular integral operators on product domains
truncated maximal singular integrals
twisted surfaces

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1007/s11464-021-0911-z

Cite this

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title = "Singular integral operators on product domains along twisted surfaces",

abstract = "We introduce a class of singular integral operators on product domains along twisted surfaces. We prove that the operators are bounded on Lp provided that the kernels satisfy weak conditions.",

keywords = "42B15, 42B20, 42B25, block spaces, Hardy Littlewood maximal function, L estimates, rough kernels, Singular integral operators on product domains, truncated maximal singular integrals, twisted surfaces",

author = "Ahmad Al-Salman",

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doi = "10.1007/s11464-021-0911-z",

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N2 - We introduce a class of singular integral operators on product domains along twisted surfaces. We prove that the operators are bounded on Lp provided that the kernels satisfy weak conditions.

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

KW - 42B15

KW - 42B20

KW - 42B25

KW - block spaces

KW - Hardy Littlewood maximal function

KW - L estimates

KW - rough kernels

KW - Singular integral operators on product domains

KW - truncated maximal singular integrals

KW - twisted surfaces

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JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

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ER -

Singular integral operators on product domains along twisted surfaces

Abstract

Keywords

ASJC Scopus subject areas

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