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dc.contributor.authorSarwar, Muhammad-
dc.description.abstractTwo–weight criteria of various type for one–sided maximal functions and one–sided potentials are established in variable exponent Lebesgue spaces. Among other re- sults we derive the Hardy–Littlewood, Fefferman–Stein and trace inequalities in these spaces. Weighted estimates for Hardy–type, maximal, potential and singular opera- tors defined by means of a quasi–metric and a doubling measure are derived in Lp(x) spaces. In some cases examples of weights guaranteeing the appropriate weighted estimates are given.en_US
dc.description.sponsorshipHigher Education Commission, Pakistanen_US
dc.publisherGC University Lahore, Pakistanen_US
dc.subjectNatural Sciencesen_US
dc.subjectMathematical sciencesen_US
dc.subjectNumerical analysisen_US
dc.titleMaximal and Potential Operators in Weighted Lebesgue Spaces with Non- standard Growthen_US
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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