On some theorems of the Jacobi-Lipschitz class for the Jacobi transform

Authors

  • R. Daher Universite Hassan II, Casablanca, Maroc
  • N. Djellab Universite Hassan II, Casablanca, Maroc
  • M. El Hamma Universite Hassan II, Casablanca, Maroc

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.2.3

Keywords:

Jacobi operator, Generalized Jacobi translation, Lipschitz-Jacobi class, Dini Lipschitz-Jacobi class

Abstract

Using a generalized Jacobi translation, we obtain a generalization of the theorem 84 of Titchmarsh for the Jacobi transform satisfying the Jacobi-Lipschitz and Dini Lipschitz conditions in the space Lp (ℝ+; ∆(t)dt), where 1 < p≤2.

Author Biographies

R. Daher, Universite Hassan II, Casablanca, Maroc

Laboratoire Matematiques Fondamentales et Appliqes, Faculte des Sciences Ain Chock, B.P 5366 Maarif

N. Djellab, Universite Hassan II, Casablanca, Maroc

Laboratoire Matematiques Fondamentales et Appliqes, Faculte des Sciences Ain Chock, B.P 5366 Maarif 

M. El Hamma, Universite Hassan II, Casablanca, Maroc

Laboratoire Matematiques Fondamentales et Appliqes, Faculte des Sciences Ain Chock, B.P 5366 Maarif

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Published

2022-01-17

Issue

Vol. 1(63) No. 2 (2021)

Section

MATHEMATICS