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高文华:QUANTITATIVE WEIGHTED BOUNDS FOR A CLASS OF SINGULAR INTEGRAL OPERATORS论文

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作者高文华,胡国恩(2019)在《QUANTITATIVE WEIGHTED BOUNDS FOR A CLASS OF SINGULAR INTEGRAL OPERATORS》一文中研究指出:In this article, the authors consider the weighted bounds for the singular integral operator defined by ■where ? is homogeneous of degree zero and has vanishing moment of order one, and A is a function on Rnsuch that ?A ∈ BMO(R~n). By sparse domination, the authors obtain some quantitative weighted bounds for TAwhen ? satisfies regularity condition of Lr-Dini type for some r ∈(1, ∞).

Abstract

In this article, the authors consider the weighted bounds for the singular integral operator defined by ■where ? is homogeneous of degree zero and has vanishing moment of order one, and A is a function on Rnsuch that ?A ∈ BMO(R~n). By sparse domination, the authors obtain some quantitative weighted bounds for TAwhen ? satisfies regularity condition of Lr-Dini type for some r ∈(1, ∞).

论文参考文献

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  • 论文详细介绍

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