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The one-sided Ap conditions and local maximal operator

  • Ana L. Bernardis (a1), Amiran Gogatishvili (a2), Francisco Javier Martín-Reyes (a3), Pedro Ortega Salvador (a3) and Luboš Pick (a4)...
Abstract

We introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. We obtain applications to weighted Lebesgue spaces and variable-exponent Lebesgue spaces.

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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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