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arXiv · 1208.4788

Boundedness of sublinear operators on weighted Morrey spaces and applications

Zunwei Fu·Shanzhen Lu·Shaoguang Shi
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Abstract

We study the boundedness of some sublinear operators on weighted Morrey spaces under certain size conditions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator, Calder\'{o}n-Zygmund singular integral operator, Bochner-Riesz means at the critical index, oscillatory singular operators, singular integral operators with oscillating kernels and so on. As applications, the regularity in weighted Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients are established.

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Zunwei Fu, Shanzhen Lu, Shaoguang Shi. 2012-08-23. Boundedness of sublinear operators on weighted Morrey spaces and applications. https://arxiv.org/abs/1208.4788

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