Functional analysis - On maximal and potential operators with Rough Kernels in variable exponent spaces

Humberto Rafeiro; Stefan Samko

doi:10.4171/RLM/736

Functional analysis - On maximal and potential operators with Rough Kernels in variable exponent spaces

Humberto Rafeiro, Stefan Samko

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	309-325
Number of pages	17
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
Volume	27
Issue number	3
DOIs	https://doi.org/10.4171/RLM/736
Publication status	Published - 2016
Externally published	Yes

Keywords

Rough operators
Variable exponent lebesgue spaces
Variable exponent morrey spaces

ASJC Scopus subject areas

Mathematics(all)

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10.4171/RLM/736

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Functional analysis - On maximal and potential operators with Rough Kernels in variable exponent spaces. / Rafeiro, Humberto; Samko, Stefan.
In: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, Vol. 27, No. 3, 2016, p. 309-325.

Research output: Contribution to journal › Article › peer-review

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Functional analysis - On maximal and potential operators with Rough Kernels in variable exponent spaces

Abstract

Keywords

ASJC Scopus subject areas

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