Maximal and Riesz potential operators with rough kernel in non-standard function spaces: unabridged version
In this talk we will discuss the boundedness of the maximal operator
with rough kernel in some non-standard function spaces, e.g. vari-
able Lebesgue spaces, variable Morrey spaces, Musielak-Orlicz spaces,
among others. We will also discuss the boundedness of the Riesz po-
tential operator with rough kernel in variable Morrey spaces. This is
based on joint work with S. Samko.