A New Approach For Weighted Hardy's Operator In VELS

Lutfi Akin, Faruk Dusunceli
2019 Applied Mathematics and Nonlinear Sciences  
A considerable number of research has been carried out on the generalized Lebesgue spaces Lp(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.
doi:10.2478/amns.2019.2.00040 fatcat:cozcyvnx6nco7ghohriszmlrka