An LP version of Hardy's theorem for the Dunkl transform-Reference-Cited by-同舟云学术

An LP version of Hardy's theorem for the Dunkl transform

Published:2004-12 Issue:3 Volume:77 Page:371-386
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Gallardo Léonard,Trimèche Khalifa

Abstract

AbstractIn this paper, we give a generalization of Hardy's theorems for the Dunkl transform ℱD on ℝd. More precisely for all a > 0, b > 0 and p, q ∈ [1, + ∞], we determine the measurable functions f on ℝd such that where are the Lebesgue spaces associated with the Dunkl transform.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. An uncertainty principle for the Dunkl transform

2. Positivity of Dunkl’s intertwining operator

3. Generalized Hermite polynomials and the heat equation for Dunkl operators;Rösler;Comm. Math. Phys.,1998

4. Exact operator solution of the Calogero-Sutherland model

5. Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems

Cited by 30 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Restriction Theorem for the Fourier–Dunkl Transform and Its Applications to Strichartz Inequalities;The Journal of Geometric Analysis;2024-01-13

2. The Beurling Theorem in Space–Time Algebras;Bulletin of the Malaysian Mathematical Sciences Society;2023-08-21

3. Beurling’s Theorem in the Clifford Algebras;Advances in Applied Clifford Algebras;2023-06-03

4. Qualitative uncertainty principles for the windowed Opdam–Cherednik transform on weighted modulation spaces;Mathematical Methods in the Applied Sciences;2022-05-13

5. The two-sided quaternionic dunkl transform and hardy’s theorem;Rendiconti del Circolo Matematico di Palermo Series 2;2022-01-04