08/06/2012, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática Humberto Rafeiro, Pontificia Universidad Javeriana, Bogotá, Colombia, and CEAF, IST
Generalized Grand Morrey Spaces and boundedness of some classical
operators
In this talk we introduce Grand Grand Morrey spaces, in the spirit
of the so-called Grand Lebesgue spaces. We show the validity of a
kind of reduction lemma, which is aplicable to a variety of
operators, to reduce their boundedness in Grand Grand Morrey spaces
to the corresponding boundedness in Morrey spaces. As a result of
this application, we obtain the boundedness of the Hardy-Littlewood
maximal operator and Calderón-Zygmund operators in the framework
of Grand Grand Morrey spaces.
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