We prove Sobolev-type inequalities for modified Riesz potentials of functions in Morrey spaces an integral form over non-doubling metric measure spaces. Our results are new even the doubling setting. In particular, our extend previous Euclidean case.

We reviewed 20 patients who had undergone a Coonrad-Morrey total elbow arthroplasty after resection of a primary or metastatic tumour from the elbow or distal humerus between 1980 and 2002. Eighteen patients underwent reconstruction for palliative treatment with restoration of function after intralesional surgery and two after excision of a primary bone tumour. The mean follow-up was 30 months ...

Abstract For all admissible values of the numerical parameters sharp sufficient conditions on functional are obtained ensuring boundedness generalized Riesz potential from one general local Morrey-type space to another one, which, for a certain range parameters, coincide with necessary ones.