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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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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