Humberto
Rafeiro
(Pontificia Universidad Javeriana, Bogotá, Colombia, and CEAF,
IST)
" Generalized
Grand Morrey Spaces and boundedness of some classical operators "
Abstract. 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 bondedness 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.
