Startseite Criteria of Weighted Inequalities in Orlicz Classes for Maximal Functions Defined on Homogeneous Type Spaces
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Criteria of Weighted Inequalities in Orlicz Classes for Maximal Functions Defined on Homogeneous Type Spaces

  • A. Gogatishvili und V. Kokilashvili
Veröffentlicht/Copyright: 18. Februar 2010
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Georgian Mathematical Journal
Aus der Zeitschrift Band 1 Heft 6

Abstract

The necessary and sufficient conditions are derived in order that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal functions defined on homogeneous type space. A weak type problem with weights is solved for vector-valued maximal functions.

Received: 1993-09-06
Published Online: 2010-02-18
Published in Print: 1994-December

© 1994 Plenum Publishing Corporation

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