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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 2, Pages 69–73 (Mi ivm8873)
This article is cited in 20 papers

Brief communications

Sharp estimates of Hardy constants for domains with special boundary properties

F. G. Avkhadiev, I. K. Shafigullin

Chair of Function Theory and Appoximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We investigate the behavior of Hardy constants in domains whose boundaries have at least one regular boundary point.

Keywords: Hardy inequalities, distance function, Hardy constants.

UDC: 517.518+517.956

Received: 15.09.2013


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:2, 58–61

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© Steklov Math. Inst. of RAS, 2024