Hardy-Littlewood maximal operator
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Abstract (EN)
The aim of this thesis is to introduce maximal function, which is one of the fundamentalconcept of harmonic analysis, and to give some generalizations of the Hardy-Littlewood MaximalOperator. This thesis consists of three chapters. Fundamental definitions, theorem, generalized shiftoperator,-distribution function and-decreasing rearrangement of the function are given in the firstchapter. The second chapter contains the definitions and basic properties of maximal function andB-maximal function. The third chapter is devoted to the properties of B-maximal function associatedwith Laplace-Bessel differential operator.Keywords: Hardy-Littlewood Maximal Operator, Maximal Function, Maximal Bessel Function,Laplace-Bessel Differential Operator, Bessel Convolution
Author
Mehmet Turgut
How to Cite
Mehmet Turgut (Master Thesis). Hardy-Littlewood maximal operator, 2011, Kırşehir Ahi Evran University.
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