@article{article_489071, title={A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={49}, pages={1405–1413}, year={2020}, DOI={10.15672/hujms.489071}, author={Sezer Evcan, Sinem and Eryiğit, Melih and Çobanoğlu, Selim}, keywords={Flett potentials, Truncated hypersingular integrals, Poisson semigroup}, abstract={<p>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. </p> <p>**************************************************************************************************************************************************** </p> <p>**************************************************************************************************************************************************** <b> </b> <i> </i> <u> </u> <sub> </sub> <sup> </sup> <strike> </strike> <br /> </p>}, number={4}, publisher={Hacettepe University}