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A Note on Marcinkiewicz Integral Operators on Product Domains

Badriya Al-Azri|Ahmad Al-Salman
경북대학교 자연과학대학 수학과|2023.12|Kyungpook Mathematical Journal|제63권 제4호|pp. 577-591|DOI https://doi.org/10.5666/KMJ.2023.63.4.577

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참고문헌

키워드

Convex functionsMarcinkiewicz operatorsProduct domainsL p estimatesMaximal functions
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초록

In this paper we establish the Lp boundedness of Marcinkiewicz integral oper ators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polyno mials and convex functions. This generalizes and extends previous results.

Abstract

In this paper we establish the Lp boundedness of Marcinkiewicz integral oper ators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polyno mials and convex functions. This generalizes and extends previous results.

참고문헌 (19)

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관련 논문AI추천

Singular and Marcinkiewicz integral operators on product domainsAhmad Al-Salman, Badriya Al-Azri대한수학회 · 대한수학회논문집2023 · 제38권 제2호Maximal functions along twisted surfaces on product domainsAhmad Al-Salman대한수학회 · 대한수학회보2021 · 제58권 제4호ON CERTAIN ESTIMATES FOR ROUGH GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALSDaiqing Zhang대한수학회 · 대한수학회보2023 · 제60권 제1호PARABOLIC MARCINKIEWICZ INTEGRALS ASSOCIATED TO POLYNOMIALS COMPOUND CURVES AND EXTRAPOLATIONDaiqing Zhang, Feng Liu대한수학회 · 대한수학회보2015 · 제52권 제3호Boundedness of multiple Marcinkiewicz integral operators with rough kernelsHuoxiong Wu대한수학회 · 대한수학회지2006 · 제43권 제3호A note on generalized parametric Marcinkiewicz integralsFeng Liu대한수학회 · 대한수학회보2019 · 제56권 제5호

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