On Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions
Roman Veprintsev
TL;DR
This paper establishes new inequalities related to Jacobi expansions, extending classical harmonic analysis results to this specific setting.
Contribution
It introduces Paley-type and Hausdorff-Young-Paley-type inequalities tailored for Jacobi expansions, advancing the theoretical framework.
Findings
Derived Paley-type inequalities for Jacobi expansions
Established Hausdorff-Young-Paley-type inequalities in this context
Extended classical harmonic analysis results to Jacobi polynomial settings
Abstract
We obtain Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Mathematical Analysis and Transform Methods · Mathematical Inequalities and Applications