This article is cited in 3 papers

A Remark on $k$th Order Hardy Inequalities

A. Kufner

Czech Technical University

Abstract: Conditions on the weight functions are derived that guarantee the validity of the higher order Hardy inequality for classes of functions satisfying rather general boundary conditions. The approach uses the Green function of a certain boundary value problem and is illustrated by the case of second-order Hardy inequality, for which even necessary and sufficient conditions are derived.

UDC: 517.518

Received in September 2004

 English version: Proceedings of the Steklov Institute of Mathematics, 2005, 248, 138–146

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