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Weighted estimates for certain rough singular integrals

Chunjie Zhang
대한수학회 (The Korean Mathematical Society)|2008.11|대한수학회지 (Journal of the KMS)|제45권 제6호|pp. 1561-1576

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참고문헌

키워드

weighted norm inequalitysingular integralvector valued inequality
주제분류수학

초록

In this paper we shall prove some weighted norm inequalities of the form [수식] for certain rough singular integral T and maximal singular integral T*. Here u is a nonnegative measurable function on Rn and N denotes some maximal operator. As a consequence, some vector valued inequalities for both T and T* are obtained. We shall also get a boundedness result of T on the Triebel-Lizorkin spaces.

Abstract

In this paper we shall prove some weighted norm inequalities of the form [수식] for certain rough singular integral T and maximal singular integral T*. Here u is a nonnegative measurable function on Rn and N denotes some maximal operator. As a consequence, some vector valued inequalities for both T and T* are obtained. We shall also get a boundedness result of T on the Triebel-Lizorkin spaces.

참고문헌 (20)

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