F. G. Avkhadiev, “Hardy type $L_p$-inequalities in $r$-close-to-convex domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 1,Pages 84

This article is cited in 4 papers

Brief communications

Hardy type $L_p$-inequalities in $r$-close-to-convex domains

F. G. Avkhadiev

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

Abstract: We describe non-convex domains for which the Hardy constants are the same as for convex domains.

Keywords: Hardy type inequalities, distance function, Hardy constants, non-convex domains.

UDC: 517.5+517.956

Received: 26.05.2014