- May 10, 2013, Friday - 14h30 (Room P
3.10):
Stefan Samko
(Universidade do Algarve and CEAF, IST)
" Morrey
spaces and Stummel classes "
Abstract. We prove
a new property of Morrey function spaces: local Morrey type behaviour
of functions is very close to weighted behaviour. More precisely,
generalized local Morrey spaces are embedded between weighted Lebesgue
spaces with weights differing only by a logarithmic factor. This
leads to the statement that the generalized global Morrey spaces are
embedded between two generalized Stummel classes whose characteristics
similarly differ by a logarithmic factor. We give examples proving that
these embeddings are strict. For the generalized Stummel spaces we also
give an equivalent norm.
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