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arXiv · 1404.2692

Two-weight norm inequalities on Morrey spaces

Hitoshi Tanaka
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Abstract

A description of all the admissible weights similar to the Muckenhoupt class $A_p$ is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are given for the Hardy-Littlewood maximal operator. Necessary and sufficient condition is also verified for the power weights.

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Hitoshi Tanaka. 2014-04-10. Two-weight norm inequalities on Morrey spaces. https://arxiv.org/abs/1404.2692

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