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

Rafeiro, HumbertoSamko, Stefan2019-11-202019-11-202017-090378-620X1420-8989http://hdl.handle.net/10400.1/13004In 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.engSingular integral-operatorsElectrorheological fluidsLinear growthExponentBoundednessDiffusionFunctionalsMaximal operator with rough kernel in variable musielak-morrey-orlicz type spaces, variable herz spaces and grand variable lebesgue spacesjournal article10.1007/s00020-017-2398-2