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

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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Bibliographic Details
Published inKarpats'kì matematinì publìkacìï Vol. 7; no. 2; pp. 215 - 219
Main Authors El Ouadih, S., Daher, R.
Format Journal Article
LanguageEnglish
Published Vasyl Stefanyk Precarpathian National University 24.12.2015
Subjects
generalized modulus of continuity
jacobi generalized translation
jacobi operator
jacobi transform
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Summary: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.
ISSN:2075-9827
2313-0210
DOI:10.15330/cmp.7.2.215-219