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Title: Maximal and Potential Operators in Weighted Lebesgue Spaces with Non- standard Growth
Authors: Sarwar, Muhammad
Keywords: Natural Sciences
Mathematical sciences
Numerical analysis
Issue Date: 2006
Publisher: GC University Lahore, Pakistan
Abstract: Two–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.
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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