<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

Publié en ligne: 28 oct. 2019

Pages: 417 - 432

Reçu: 07 mai 2019

Accepté: 24 juin 2019

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

Mots clés
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

Publié en ligne: 28 oct. 2019

Pages: 417 - 432

Reçu: 07 mai 2019

Accepté: 24 juin 2019

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

Mots clésHardy 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.

Mots clés
Hardy inequality, Variable exponent, Boundedness