TY - JOUR
T1 - Maximal Operator with Rough Kernel in Variable Musielak–Morrey–Orlicz type Spaces, Variable Herz Spaces and Grand Variable Lebesgue Spaces
AU - Rafeiro, Humberto
AU - Samko, Stefan
N1 - Funding Information:
H.R. was partially supported by Pontificia Universidad Javeriana, under the research project “Study of rough operators in non-standard function spaces”, ID PPT: 7117.
Publisher Copyright:
© 2017, Springer International Publishing AG.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - 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.
AB - 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.
KW - Generalized Orlicz–Morrey spaces
KW - Generalized variable Morrey spaces
KW - Maximal operator
KW - Rough operator
KW - Variable Herz spaces
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U2 - 10.1007/s00020-017-2398-2
DO - 10.1007/s00020-017-2398-2
M3 - Article
AN - SCOPUS:85028559146
VL - 89
SP - 111
EP - 124
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
SN - 0378-620X
IS - 1
ER -