Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 111-124 |
Number of pages | 14 |
Journal | Integral Equations and Operator Theory |
Volume | 89 |
Issue number | 1 |
DOIs | |
Publication status | Published - Sept 1 2017 |
Externally published | Yes |
Keywords
- Generalized Orlicz–Morrey spaces
- Generalized variable Morrey spaces
- Maximal operator
- Rough operator
- Variable Herz spaces
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory