Linear and Bilinear Multiplier Operators for the Dunkl Transform

Béchir Amri, Abdessalem Gasmi, Mohamed Sifi

Type: Article

Publication Date: 2010-04-21

Citations: 29

DOI: https://doi.org/10.1007/s00009-010-0057-9

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Locations

Mediterranean Journal of Mathematics - View

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+	Hörmander's multiplier theorem for the Dunkl transform	2019	Jacek Dziubański Agnieszka Hejna
+ PDF Chat	The dual of the Hardy space associated with the Dunkl operators	2022	Jiaxi Jiu Zhongkai Li
+	Riesz transform and commutators in the Dunkl setting	2021	Yongsheng Han Ming-Yi Lee Ji Li Brett D. Wick
+	Multilinear Dunkl Multiplier Operators	2024	Zhangli Peng Jiman Zhao
+	Riesz transforms and commutators in the Dunkl setting	2024	Yongsheng Han Ming-Yi Lee Ji Li Brett D. Wick
+	Riesz transforms for Dunkl Hermite expansions	2014	Béchir Amri
+	On the generalized Hilbert transform and weighted Hardy spaces in q-Dunkl harmonic analysis	2022	Othman Tyr Faouaz Saadi Radouan Daher
+	Multivariate Spectral Multipliers	2014	Błażej Wróbel
+	On the deformed Besov-Hankel spaces	2020	Salem Ben Saïd Mohamed Amine Boubatra Mohamed Sifi
+	On fundamental harmonic analysis operators in certain Dunkl and Bessel settings	2013	Alejandro J. Castro Tomasz Szarek

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	The best constants in the Khintchine inequality	1981	Uffe Haagerup
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Relating transplantation and multipliers for Dunkl and Hankel transforms	2008	Adam Nowak Krzysztof Stempak
+ PDF Chat	Estimates for translation invariant operators in Lp spaces	1960	Lars Hörmander
+ PDF Chat	The multiplier of the interval <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">[</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">]</mml:mo></mml:math> for the Dunkl transform on the real line	2006	Jorge J. Betancor Óscar Ciaurri Juan Malumbres
+	Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators	2002	Khalifa Trimèche
+	The dunkl transform	1993	Marcel de Jeu
+	New Type Paley-Wiener Theorems for the Dunkl Transform on R	2003	Chirine Chettaoui Khalifa Trimèche
+ PDF Chat	Commutateurs d'intégrales singulières et opérateurs multilinéaires	1978	Ronald R. Coifman Yves Meyer
+	A weak-type estimate for Fourier-Bessel multipliers	1989	John Gosselin Krzysztof Stempak