MARCINKIEWICZ-TYPE INTERPOLATION THEOREM AND ESTIMATES FOR CONVOLUTIONS FOR MORREY-TYPE SPACES

We introduce a class of Morrey-type spaces M-p,q,Omega(lambda), which includes the classical Money spaces. We discuss their properties and we prove a Marcinkiewicz-type interpolation theorem. This theorem is then applied to obtaining a Young-O'Neil-type inequality for the convolution operator in Morrey-type spaces.