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

Humberto Rafeiro, Stefan Samko

Research output: Contribution to journalArticlepeer-review

4 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 languageEnglish
Pages (from-to)309-325
Number of pages17
JournalAtti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
Volume27
Issue number3
DOIs
Publication statusPublished - 2016
Externally publishedYes

Keywords

  • Rough operators
  • Variable exponent lebesgue spaces
  • Variable exponent morrey spaces

ASJC Scopus subject areas

  • Mathematics(all)

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