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A Necessary and Sufficient Condition for Hardy's Operator in the Variable Lebesgue Space

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dc.contributor.authorMamedov, Farman
dc.contributor.authorZeren, Yusuf
dc.date.accessioned2026-06-27T13:30:22Z
dc.date.issued2014
dc.description.abstractThe variable exponent Hardy inequality parallel to x(beta(x)-1) integral(x)(0) f(t)dt parallel to(LP(.)(0,l)) = 0 is proved assuming that the exponents p : (0,l) -> (1, infinity), beta : (0, l) -> R not rapidly oscilate near origin and 1/p'(0) - beta > 0. The main result is a necessary and sufficient condition on p, beta generalizing known results on this inequality.en
dc.description.sponsorshipScientific and Technological Research Council of Turkey for a scholarship (TUBITAK-BIDEB)
dc.description.urihttps://doi.org/10.1155/2014/342910
dc.identifier.doi10.1155/2014/342910
dc.identifier.eissn1687-0409
dc.identifier.issn1085-3375
dc.identifier.urihttps://hdl.handle.net/20.500.14981/53318
dc.identifier.wos000336139900001
dc.language.isoeng
dc.publisherHINDAWI LTD
dc.relation.ispartofABSTRACT AND APPLIED ANALYSIS
dc.rightsopenAccess
dc.subjectWEIGHTED INEQUALITY
dc.subjectREGULARITY
dc.subjectMathematics
dc.titleA Necessary and Sufficient Condition for Hardy's Operator in the Variable Lebesgue Space
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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