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

Author

Listed:
  • Emilio R. Negrín

    (Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de La Laguna (ULL), Campus de Anchieta, ES-38271 La Laguna, Tenerife, Spain
    Instituto de Matemáticas y Aplicaciones (IMAULL), 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)

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.

Suggested Citation

  • Emilio R. Negrín & Jeetendrasingh Maan, 2024. "On L p -Boundedness Properties and Parseval–Goldstein-Type Theorems for a Lebedev-Type Index Transform," Mathematics, MDPI, vol. 12(24), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:3907-:d:1541589
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