Equivalence of Hardy-type inequalities with general measure on the cones of non-negative respective non-increasing functions

L.-E. Persson; VD Stepanov; Elena P Ushakova

Equivalence of Hardy-type inequalities with general measure on the cones of non-negative respective non-increasing functions

L.-E. Persson, VD Stepanov, Elena P Ushakova

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Some Hardy-type integral inequalities in general measure spaces,
where the corresponding Hardy operator is replaced by a more general Volterra
type integral operator with kernel k(x, y), are considered. The equivalence
of such inequalities on the cones of non-negative respective non-increasing
functions are established and applied.

Original language	English
Pages (from-to)	2363–2372
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	8
Publication status	Published - 2006

Keywords

Integral operator of the Hardy type, inequalities for monotone

Access to Document

http://www.ams.org/journals/proc/2006-134-08/S0002-9939-06-08403-6/S0002-9939-06-08403-6.pdf

Cite this

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title = "Equivalence of Hardy-type inequalities with general measure on the cones of non-negative respective non-increasing functions",

abstract = "Some Hardy-type integral inequalities in general measure spaces, where the corresponding Hardy operator is replaced by a more general Volterra type integral operator with kernel k(x, y), are considered. The equivalence of such inequalities on the cones of non-negative respective non-increasing functions are established and applied.",

keywords = "Integral operator of the Hardy type, inequalities for monotone",

author = "L.-E. Persson and VD Stepanov and Ushakova, {Elena P}",

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journal = "Proceedings of the American Mathematical Society",

publisher = "American Mathematical Society",

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T1 - Equivalence of Hardy-type inequalities with general measure on the cones of non-negative respective non-increasing functions

AU - Persson, L.-E.

AU - Stepanov, VD

AU - Ushakova, Elena P

PY - 2006

Y1 - 2006

N2 - Some Hardy-type integral inequalities in general measure spaces, where the corresponding Hardy operator is replaced by a more general Volterra type integral operator with kernel k(x, y), are considered. The equivalence of such inequalities on the cones of non-negative respective non-increasing functions are established and applied.

AB - Some Hardy-type integral inequalities in general measure spaces, where the corresponding Hardy operator is replaced by a more general Volterra type integral operator with kernel k(x, y), are considered. The equivalence of such inequalities on the cones of non-negative respective non-increasing functions are established and applied.

KW - Integral operator of the Hardy type, inequalities for monotone

M3 - Article

VL - 134

SP - 2363

EP - 2372

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -