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

S. El Ouadih, R. Daher

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.

Keywords


Jacobi operator, Jacobi transform, Jacobi generalized translation, generalized modulus of continuity

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