ON BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR IN WEIGHTED Lp(.) SPACES

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MAMEDOV F. I., ZEREN Y.

MATHEMATICAL INEQUALITIES & APPLICATIONS, vol.19, no.1, pp.1-14, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.7153/mia-19-01
  • Journal Name: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-14
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, we derive some sufficient conditions for the boundedness of the fractional
maximal operator in the weighted variable exponent Lebesgue spaces Lp(.), where Sawyer’s
type pair of modular conditions are proposed on a weight functions and it is assumed a local logregularity
and a decay condition on the exponent function p(.).

In this paper, we derive some sufficient conditions for the boundedness of the fractional maximal operator in the weighted variable exponent Lebesgue spaces L-p(.), where Sawyer's type pair of modular conditions are proposed on a weight functions and it is assumed a local log-regularity and a decay condition on the exponent function p(.).