On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent

Mamedov, Farman; ZEREN, Yusuf

doi:10.1007/s10231-010-0149-y

On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent

Mamedov F. I., ZEREN Y.

ANNALI DI MATEMATICA PURA ED APPLICATA, vol.190, no.2, pp.263-275, 2011 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 190 Issue: 2
Publication Date: 2011
Doi Number: 10.1007/s10231-010-0149-y
Journal Name: ANNALI DI MATEMATICA PURA ED APPLICATA
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.263-275
Keywords: Maximal functions, Weighted Lebesgue spaces, Variable exponent, Two-weight inequality, NORM INEQUALITIES, REGULARITY
Yıldız Technical University Affiliated: Yes

Abstract

We study two-weight inequalities with general-type weights for Hardy-Littlewood maximal operator in the Lebesgue spaces with variable exponent. The exponent function satisfies log-Holder-type local continuity condition and decay condition in infinity. The right-hand side weight to the certain power satisfies the doubling condition. Sawyer-type two-weight criteria for fractional maximal functions are derived.