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On generalized flett potentials

2022
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Advisor: Doç. Dr. Sinem Sezer Evcan

Abstract (EN)

In this thesis, firstly, the generalized Flett potentials generated by the generalized Poisson semigroup are defined and the important properties of these potentials in the weighted Lp spaces are examined.Then, a new "truncated hypersingular integrals family" is defined depending on an ε > 0 parameter, and an inversion formula for the generalized Flett potentials is obtained by means of this truncated hypersingular integrals family.

Author

Dr. Uğur Ülkü

How to Cite

Uğur Ülkü (Master Thesis). On generalized flett potentials, 2022, Akdeniz University.

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