- May 21, 2010 , Friday - 15h15 (Room
P
3.10):
Off-diagonal estimations of
Hardy and potential operators in Morrey spaces
Natasha Samko
(Universidade do Algarve, Faro)
Abstract. We study the weighted p->q-boundedness
of multi-dimensional Hardy type operators in Morrey spaces for a class
of almost monotonic weights. The obtained results are applied to a
similar weighted p->q-boundedness of the Riesz potential operator.
The conditions on weights, both for the Hardy and potential operators
are necessary and sufficient in the case of power weights. In the case
of more general weights we provide separately necessary and sufficient
conditions.
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