On estimates for the Jacobi transform in the space $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$

Authors

  • S. El Ouadih University of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, Morocco
  • R. Daher University of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, Morocco
https://doi.org/10.15330/cmp.7.2.215-219

Keywords:

Jacobi operator, Jacobi transform, Jacobi generalized translation, generalized modulus of continuity
Published online: 2015-12-24

Abstract

In this paper, we prove the estimates for the Jacobi transform in $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$ as applied to some classes of functions characterized by a generalized modulus of continuity.

Article metrics
How to Cite
(1)
El Ouadih, S.; Daher, R. On Estimates for the Jacobi Transform in the Space $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$. Carpathian Math. Publ. 2015, 7, 215-219.