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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 81, Issue 3, Pages 361–373 (Mi mzm3679)

This article is cited in 6 papers

On the Reverse Hölder Inequality

A. A. Korenovskii

Institute of Mathematics, Ecomonics and Mechanics, Odessa State University

Abstract: We obtain exact positive and negative exponents of integrability of a function satisfying the reverse weighted Hölder inequality on parallelepipeds.

Keywords: reverse Hölder inequality, Gehring's function class, Muckenhoupt's function class, Hardy's inequality, exponent of integrability.

UDC: 517.5

Received: 15.04.2005
Revised: 30.09.2006

DOI: 10.4213/mzm3679


 English version:
Mathematical Notes, 2007, 81:3, 318–328

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© Steklov Math. Inst. of RAS, 2026