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Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

A peer-reviewed article of this Preprint also exists.

Sitnik, S.; Skoromnik, O. Multi-Dimensional Integral Transform with Fox Function in Kernel in Lebesgue-Type Spaces. Mathematics 2024, 12, 1829. Sitnik, S.; Skoromnik, O. Multi-Dimensional Integral Transform with Fox Function in Kernel in Lebesgue-Type Spaces. Mathematics 2024, 12, 1829.

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

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