On estimates for the Jacobi transform in the space $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$
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DOI:
https://doi.org/10.15330/cmp.7.2.215-219Keywords:
Jacobi operator, Jacobi transform, Jacobi generalized translation, generalized modulus of continuityAbstract
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.
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2015-12-24
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(1)
El Ouadih, S.; Daher, R. On Estimates for the Jacobi Transform in the Space $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$: Array. Carpathian Math. Publ. 2015, 7, 215-219.
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Scientific articles