Infimal convolution and Muckenhoupt A p (.) condition in variable L p spaces |
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Authors: | Tengizi S Kopaliani |
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Institution: | (1) Department of Mechanics and Mathematics, Tbilisi State University, 1 Chavchavadze Ave., Tbilisi, 380028, Georgia |
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Abstract: | We study the Hardy-Littlewood maximal operator M on
. Under the assumptions that the exponent p satisfies
and is constant outside some large ball, we prove that
if and only if
.
Received: 2 June 2006 Revised: 28 November 2006 |
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Keywords: | Primary: 42B20 42B45 |
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