A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials

Year 2020, Volume: 49 Issue: 4, 1405 - 1413, 06.08.2020

Sinem Sezer Evcan Melih Eryiğit Selim Çobanoğlu

https://doi.org/10.15672/hujms.489071

Cited By: 1

Abstract

In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.

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Keywords

Flett potentials, Truncated hypersingular integrals, Poisson semigroup

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