Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Multi-Dimensional Integral Transform with Fox Function in Kernel on Lebesgue-Type Spaces

Version 1 : Received: 8 April 2024 / Approved: 8 April 2024 / Online: 8 April 2024 (11:43:19 CEST)

How to cite: Sitnik, S.; Skoromnik, O. Multi-Dimensional Integral Transform with Fox Function in Kernel on Lebesgue-Type Spaces. Preprints 2024, 2024040536. https://doi.org/10.20944/preprints202404.0536.v1 Sitnik, S.; Skoromnik, O. Multi-Dimensional Integral Transform with Fox Function in Kernel on Lebesgue-Type Spaces. Preprints 2024, 2024040536. https://doi.org/10.20944/preprints202404.0536.v1

Abstract

This paper is devoted to the study of multi-dimensional integral transform with Fox H-function in the kernel in weighted spaces integrable functions in the domain R+n with positive coordinates. Mapping properties such as the boundedness, the range, the representations of the considered transformation are established.

Keywords

Multi-dimensional integral transform; Fox H-function; Melling transform; weighted space; fractional integrals and derivatives

Subject

Computer Science and Mathematics, Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.