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A modular variable Orlicz inequality for the local maximal operator

  • Claudia Capone , David Cruz-Uribe and Alberto Fiorenza EMAIL logo

Abstract

In this note we prove a modular variable Orlicz inequality for the local maximal operator. This result generalizes several Orlicz and variable exponent modular inequalities that have appeared previously in the literature.

MSC 2010: 42B25; 46E30

Dedicated to Professor V. Kokilashvili on the occasion of his 80th birthday


Award Identifier / Grant number: DMS-1362425

Funding statement: The second author is supported by NSF Grant DMS-1362425 and research funds from the Dean of the College of Arts & Sciences, the University of Alabama.

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Received: 2017-7-10
Accepted: 2018-2-15
Published Online: 2018-4-6
Published in Print: 2018-6-1

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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