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JOURNALS // Eurasian Mathematical Journal // Archive
Eurasian Math. J., 2011 Volume 2, Number 3, Pages 143–146 (Mi emj67)
This article is cited in 8 papers

Short communications

Order-sharp estimates for Hardy-type operators on cones of quasimonotone functions

M. L. Goldman

Department of Nonlinear Analysis and Optimization, Peoples' Friendship University of Russia, Moscow, Russia

Abstract: The two-sided estimates are obtained for two types of generalized Hardy operators on cones of functions in weighted Lebesgue spaces with some properties of monotonicity.

Keywords and phrases: Hardy type operator, cones of quasimonotone functions, criterion of the boundedness.

MSC: 46E30, 42A16

Received: 25.10.2011

Language: English



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