Hardy-Littlewood maximal operator
2011
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Advisor: Yrd. Doç. Ali Akbulut
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
Dr. Mehmet Turgut
How to Cite
Mehmet Turgut (Master Thesis). Hardy-Littlewood maximal operator, 2011, Ahi Evran University.
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