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

Authors : Sinem SEZER EVCAN, Melih ERYİĞİT, Selim ÇOBANOĞLU

Pages : 1405-1413

Doi:10.15672/hujms.489071

View : 18 | Download : 6

Publication Date : 2020-08-06

Article Type : Research Paper

Abstract :In the present paper we introduce new ``truncated` hypersingular integral operators $D_{\epsilon}^{\alpha}finsert ignore into journalissuearticles values(\epsilon>0);$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces. **************************************************************************************************************************************************** ****************************************************************************************************************************************************
Keywords : Flett potentials, Truncated hypersingular integrals, Poisson semigroup