Scientific seminar on functional analysis and its applications
On 21 November at 12:00 p.m. (Moscow time)
A scientific seminar on functional analysis and its applications under the guidance of professors A.V. Arutyunov, V.I. Burenkov and M.L. Goldman will be held at RUDN University.
Topic : “On boundedness of the generalized Riesz potential in local Morrey type spaces”.
Well-known results on the boundedness of the classical Riesz potential in local Morrey-type spaces are generalized to the case of integral operators of Riesz type, in which the power function is replaced by a general function that satisfies certain conditions. For some values of numerical parameters characterizing local Morrey-type spaces, necessary and sufficient conditions for functional parameters are obtained that ensure the boundedness of such operators from one general local Morrey-type space to another.