Riesz potential operator in continual variable exponents Herz spaces

Humberto Rafeiro, Stefan Samko

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We find conditions on the variable parameters p(x),q(t) and α(t), defining the Herz space Hp(·),q(·),α(·)(Rn), for the validity of Sobolev type theorem for the Riesz potential operator to be bounded within the frameworks of such variable exponents Herz spaces. We deal with a "continual" version of Herz spaces (which coincides with the "discrete" one when q is constant).

Original languageEnglish
Pages (from-to)465-475
Number of pages11
JournalMathematische Nachrichten
Volume288
Issue number4
DOIs
Publication statusPublished - Mar 1 2015
Externally publishedYes

Keywords

  • Herz spaces
  • Riesz potential operator
  • Sublinear operators
  • Variable exponent spaces

ASJC Scopus subject areas

  • Mathematics(all)

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