Morrey spaces are closely embedded between vanishing stummel spaces

Samko, Stefan

http://hdl.handle.net/10400.1/11092

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Authors

Samko, Stefan

Abstract(s)

We prove a new property of Morrey function spaces by showing that the 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.