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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2013 Volume 16, Number 2, Pages 3–12 (Mi mt255)

This article is cited in 7 papers

Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments

F. G. Avkhadiev, I. K. Shafigullin

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We study the behavior of constants in Hardy-type inequalities for tubular extensions of sets. We also obtain new estimates of constants for domains with finite boundary moments.

Key words: Hardy-type inequalities, distance function, boundary moments of domains.

UDC: 517.5+517.956.225

Received: 27.11.2012


 English version:
Siberian Advances in Mathematics, 2014, 24:3, 153–158

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