This article is cited in 4 papers

Relation between the Gurov–Reshetnyak and the Muckenhoupt function classes

A. A. Korenovskii

I. I. Mechnikov Odessa National University

Abstract: In the one-dimensional case, for a function satisfying the Gurov–Reshetnyak condition, the infimum of the indices of the Muckenhoupt classes containing this function is found. It is also shown that each Muckenhoupt class lies in some Gurov–Reshetnyak class.

UDC: 517.5

MSC: 46E30

Received: 04.07.2002

DOI: 10.4213/sm745

 English version: Sbornik: Mathematics, 2003, 194:6, 919–926

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