<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A considerable number of research has been carried out on the generalized Lebesgue spaces <italic>L</italic><sup><italic>p</italic>(<italic>x</italic>)</sup> 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.</p>
</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.

A New Approach For Weighted Hardy’s Operator In VELS

Faculty of Economics and Administrative Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

{"article-title":"A New Approach For Weighted Hardy\u2019s Operator In VELS"}

A considerable number of research has been carried out on the generalized Lebesgue spaces Lp(x) and boundedness of different integral operators therein. In...

A New Approach For Weighted Hardy’s Operator In VELS

Published Online: Oct 28, 2019

Page range: 417 - 432

Received: May 07, 2019

Accepted: Jun 24, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00040

Keywords
Hardy inequality, Variable exponent, Boundedness

© 2019 Lutfi Akin and Faruk Dusunceli, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

A New Approach For Weighted Hardy’s Operator In VELS

Published Online: Oct 28, 2019

Page range: 417 - 432

Received: May 07, 2019

Accepted: Jun 24, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00040

KeywordsHardy inequality, Variable exponent, Boundedness

© 2019 Lutfi Akin and Faruk Dusunceli, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Keywords
Hardy inequality, Variable exponent, Boundedness