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

S. El Ouadih; R. Daher

doi:10.15330/cmp.7.2.215-219

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.