On <i>L</i><sup><i>p</i></sup>-Boundedness Properties and Parseval–Goldstein-Type Theorems for a Lebedev-Type Index Transform

On <i>L</i><sup><i>p</i></sup>-Boundedness Properties and Parseval–Goldstein-Type Theorems for a Lebedev-Type Index Transform

This paper investigates Parseval–Goldstein-type relations for a Lebedev-type index transform and examines its behavior in weighted Lebesgue spaces. Key results on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><ms...

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Bibliographic Details
Main Authors: Emilio R. Negrín, Jeetendrasingh Maan
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Lebedev-type index transform
modified Bessel (or the Macdonald) function
weighted Lebesgue spaces
Parseval–Goldstein relations
<i>L<sup>p</sup></i>-boundedness properties
Online Access:https://www.mdpi.com/2227-7390/12/24/3907
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Summary:This paper investigates Parseval–Goldstein-type relations for a Lebedev-type index transform and examines its behavior in weighted Lebesgue spaces. Key results on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>L</mi><mi>p</mi></msup></semantics></math></inline-formula>-boundedness establish conditions that support these relations. This contributes to understanding the functional framework of Lebedev-type index transforms in mathematical analysis.
ISSN:2227-7390

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