Maximal operator with rough kernel in variable musielak-morrey-orlicz type spaces, variable herz spaces and grand variable lebesgue spaces

Rafeiro, Humberto; Samko, Stefan

http://hdl.handle.net/10400.1/13004

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Authors

Rafeiro, Humberto

Samko, Stefan

Abstract(s)

In the frameworks of some non-standard function spaces (viz. Musielak-Orlicz spaces, generalized Orlicz-Morrey spaces, generalized variable Morrey spaces and variable Herz spaces) we prove the boundedness of the maximal operator with rough kernel. The results are new even for p constant.