Browsing by Author "Akin, Lutfi"

Now showing 1 - 4 of 4

A Characterization of Boundedness of Fractional Maximal Operator With Variable Kernel on Herz-Morrey Spaces
(Global Science Press, 2020) Akin, Lutfi; Akın, Lütfi
A significant number of studies have been carried out on the generalized Lebesgue spaces L-p(x), Sobolev spaces W-1,W- p(x) and Herz spaces. In this paper, we demonstrated a characterization of boundedness of the fractional maximal operator with variable kernel on Herz-Morrey spaces.
A New Approach for the Fractional Integral Operator in Time Scales With Variable Exponent Lebesgue Spaces
(Mdpi, 2021) Akın, Lütfi
Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis. Using the norms in different variable exponent spaces, the boundedness or compactness of the integral operators are examined. However, the norm of integral operators on time scales has been a matter of curiosity to us. In this study, we prove the equivalence of the norm of the restricted centered fractional maximal diamond-alpha integral operator M-a,delta(c) to the norm of the centered fractional maximal diamond-alpha integral operator M-a(c) on time scales with variable exponent Lebesgue spaces. This study will lead to the study of problems such as the boundedness and compactness of integral operators on time scales.
A New Approach for Weighted Hardy's Operator in Vels
(Walter de Gruyter Gmbh, 2019) Akın, Lütfi; Akin, Lutfi; Dusunceli, Faruk; Düşünceli, Faruk
A considerable number of research has been carried out on the generalized Lebesgue spaces L-p(x) and boundedness of different integral operators therein. In this study, a new approach for weighted increasing near the origin and decreasing near infinity exponent function that provides a boundedness of the Hardy's operator in variable exponent space is given.
Some Properties for Higher Order Commutators of Hardy-Type Integral Operator on Herz-Morrey Spaces With Variable Exponent
(Yildiz Technical Univ, 2019) Akın, Lütfi; Zeren, Yusuf
In this work, the boundedness for higher order commutators of Hardy-Type integrals is obtained on HerzMorrey spaces with variable exponent M(K)over dot(p,q(.))(beta(.)lambda) (R-n) applying some properties of variable exponent.