21/05/2010, 15:15 — 16:00 — Sala P3.10, Pavilhão de Matemática
Natasha Samko, Universidade do Algarve, Faro
Off-diagonal estimations of Hardy and potential operators in Morrey
spaces
We study the weighted \(p\to q\)-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 \(p\to q\)-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.