Properties of some important semi groups in harmonic analysis and their applications
2021
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Advisor: Doç. Dr. Sinem Sezer Evcan
Abstract (EN)
In this thesis, Poisson, Gauss-Weierstrass, Metaharmonic semigroups and generalized versions of these semigroups, which are used to represent potential type integral operators and many other applications in Harmonic analysis, are studied. In addition, the representations of Riesz, Bessel, Flett potentials and their generalized versions, which are important technical tools in Harmonic analysis, are optained by means of these semigroups. Finally, L_{p} and L_{p,ν} boundedness properties of these clasical and generalized type potentials are given.
Author
Dr. Veysel Tartan
How to Cite
Veysel Tartan (Master Thesis). Properties of some important semi groups in harmonic analysis and their applications, 2021, Akdeniz University.
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