IST IST

Seminar on
Functional Analysis and Applications

Supported by The Center for Functional Analysis and Applications - CEAF.
      
Next talks: _______________________________________________________________________



  • 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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