On L p -Boundedness Properties and Parseval–Goldstein-Type Theorems for a Lebedev-Type Index Transform

Emilio R. Negrín and Jeetendrasingh Maan ()
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Emilio R. Negrín: Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de La Laguna (ULL), Campus de Anchieta, ES-38271 La Laguna, Tenerife, Spain
Jeetendrasingh Maan: Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India

Mathematics, 2024, vol. 12, issue 24, 1-11

Abstract: This paper investigates Parseval–Goldstein-type relations for a Lebedev-type index transform and examines its behavior in weighted Lebesgue spaces. Key results on L p -boundedness establish conditions that support these relations. This contributes to understanding the functional framework of Lebedev-type index transforms in mathematical analysis.

Keywords: Lebedev-type index transform; modified Bessel (or the Macdonald) function; weighted Lebesgue spaces; Parseval–Goldstein relations; L p -boundedness properties (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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