Maximal Operator with Rough Kernel in Variable Musielak–Morrey–Orlicz type Spaces, Variable Herz Spaces and Grand Variable Lebesgue Spaces

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作者
Humberto Rafeiro
Stefan Samko
机构
[1] Pontificia Universidad Javeriana,Departamento de Matemáticas, Facultad de Ciencias
[2] Universidade do Algarve,Departamento de Matemática
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关键词
Rough operator; Maximal operator; Generalized Orlicz–Morrey spaces; Generalized variable Morrey spaces; Variable Herz spaces; Primary 42B25; Secondary 46E30;
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摘要
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.
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页码:111 / 124
页数:13
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