Browsing by Author "Ibrahimov, Elman J."

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The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator

Ibrahimov, Elman J.; Akbulut, Ali (ELSEVIER SCIENCE BV, 2016)

In this paper we introduced and studied the maximal function (G-maximal function) and the Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator G(gimel) = (x(2) - 1)(1/2) (-gimel) d/dx (x(2) - ...
Necessary and sufficient condition for the boundedness of the Gegenbauer-Riesz potential on Morrey spaces

Guliyev, Vagif S.; Ibrahimov, Elman J. (WALTER DE GRUYTER GMBH, 2018)

In this paper, we study the Riesz potential (G-Riesz potential) generated by the Gegenbauer differential operator G(lambda) = (x(2) - 1()1/2-lambda) d/dx (x(2) - 1)(lambda+1/2) d/dx, x is an element of(1, infinity), lambda ...