On maximal and potential operators with rough kernels in variable exponent spaces
Author(s) -
Humberto Rafeiro,
Stefan Samko
Publication year - 2016
Publication title -
rendiconti lincei matematica e applicazioni
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.824
H-Index - 28
eISSN - 1720-0768
pISSN - 1120-6330
DOI - 10.4171/rlm/736
Subject(s) - mathematics , pointwise , maximal operator , operator (biology) , pure mathematics , exponent , lp space , variable (mathematics) , mathematical analysis , discrete mathematics , banach space , bounded function , biochemistry , chemistry , linguistics , philosophy , transcription factor , gene , repressor
— In the framework of variable exponent Lebesgue and Morrey spaces we prove some boundedness results for operators with rough kernels, such as the maximal operator, fractional maximal operator, sharp maximal operators and fractional operators. The approach is based on some pointwise estimates.
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