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Weighted endpoint Inequalities for Multilinear Marcinkiewicz Integral Operator

Lanzhe Liu|Yu Wenxin
대한수학회 (The Korean Mathematical Society)|2008.02|대한수학회보 (Bulletin of the KMS)|제45권 제1호|pp. 1-10

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참고문헌

키워드

BMOmultilinear Marcinkiewicz integral operatorsharp estimate
주제분류수학

초록

We prove a sharp inequality for some multilinear operatorrelated to Marcinkiewicz integral operator. As application, we obtain theweighted norm inequality and Llog L type estimate for the multilinear operator.

Abstract

We prove a sharp inequality for some multilinear operatorrelated to Marcinkiewicz integral operator. As application, we obtain theweighted norm inequality and Llog L type estimate for the multilinear operator.

참고문헌 (16)

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  11. C. Perez, "Endpoint estimates for commutators of singular integral operators", Journal of Functional Analysis, 128(10), pp.163~185 (1995)
  12. C. Perez, "Weighted norm inequalities for singular integral operators", Journal of the London Mathematical Society, 49(2), pp.296~308 (1994)
  13. C. Perez, "Sharp weighted endpoint estimates for commutators of sin-gular integrals", Michigan Math Journal, 49(1), pp.23~37 (2001)
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