Abstract
This paper is devoted to the study of upper bounds for the norm of the convolution operator in Morrey spaces. The spaces Mp,qα, which cover the classical Morrey spaces, are introduced. Moreover, their embedding properties are investigated, and their interpolation properties are described. Young-O'Neil type inequalities in Morrey spaces are proved. New results on the boundedness of Riesz's potential in Morrey spaces are established.
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