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  • Author or Editor: L. Liu x
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In this paper the endpoint estimates for some multilinear operators related to certain sublinear integral operators on Herz and Herz type Hardy spaces are obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.

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he purpose of this paper is to give the direct and inverse theorem for pointwise approximation by Bernstein type operators.

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We establish a sharp estimate for some multilinear operator related to Bochner--Riesz operator. As an application, we obtain the weighted norm inequality and L log L type estimate for the multilinear operator.

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Abstract  

Several interpolation theorems on martingale Hardy spaces over weighted measure spaces are given. Our proofs are based on the atomic decomposition of martingale Hardy spaces over weighted measure spaces. As applications of interpolation theorems, some inequalities of martingale transform operator are obtained.

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