Eridani, Vakhtang Kokilashvili, Alexander Meskhi
Published 2008-06-14Version 1
The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established. In the case when measure satisfies the doubling condition the derived conditions are simultaneously necessary and sufficient for appropriate inequalities.
Equivalent norms for the Morrey spaces with non-doubling measures
On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
Weak and strong type estimates for fractional integral operators on Morrey spaces in metric measure spaces
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