Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 2


Published
on

October 28, 2019


Pages

417-432


DOI

Article

A New Approach For Weighted Hardy’s Operator In VELS

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Authors

Lutfi Akin Affiliation:
Faculty of Economics and Administrative Sciences, Mardin Artuklu University, Mardin, Turkey
and Faruk Dusunceli Affiliation:
Faculty of Economics and Administrative Sciences, Mardin Artuklu University, Mardin, Turkey


Abstract

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.


Keywords

Hardy inequality, Variable exponent, Boundedness, 42A05, 42B35, 26D10


Citation

Akin, L. & Dusunceli, F. (2019). A new approach for weighted hardy’s operator in VELS. Applied Mathematics and Nonlinear Sciences, 4(2), 417–432. https://doi.org/10.2478/AMNS.2019.2.00040

Published by: Engineering Journals

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