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Öğe On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent(Springer Heidelberg, 2011) Mamedov, Farman I.; Zeren, YusufWe 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.Öğe Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent(2011) Mamedov, F. I.; Zeren, Yusuf; 0000-0003-1999-3279; 0000-0001-8346-2208We study a two-weight problem for the Hardy-Littlewood maximal operator in variable exponent Lebesgue spaces Lp(·). The exponential function satisfies some logarithmic type continuity conditions. Bibliography: 25 titles.