Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions

Piotr Graczyk, Jean-J. Loeb, Iris A. López P., Adam Nowak, Wilfredo Urbina

Type: Article

Publication Date: 2004-12-30

Citations: 74

DOI: https://doi.org/10.1016/j.matpur.2004.09.003

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Locations

Journal de Mathématiques Pures et Appliquées - View

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+	Transference of Lp-boundedness between harmonic analysis operators for Laguerre and Hermite settings	2009	Jorge Juan Betancor Pérez
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Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	Functional Inequalities for Markov semigroups	2004	Dominique Bakry
+	A treatise on generating functions	1984	Adrienne W. Kemp H. M. Srivastava H. L. Manocha
+ PDF Chat	On a characterization of the Sobolev spaces over an abstract Wiener space	1985	Hiroshi Sugita
+	None	1999	José Garcı́a-Cuerva Giancarlo Mauceri Peter Sjögren J. L. Torrea
+	Function spaces on subsets of Rn	1984	Alf Jonsson Hans Wallin Jaak Peetre
+	L'hypercontractivité et son utilisation en théorie des semigroupes	1994	Dominique Bakry
+	On Riesz transforms for Laguerre expansions	2004	Adam Nowak
+ PDF Chat	Poisson integrals for Hermite and Laguerre expansions	1969	Benjamin Muckenhoupt
+	Weak Type (1,1) Estimates of the Maximal Function for the Laguerre Semigroup in Finite Dimensions	1992	Ulla Dinger
+	On logarithmic Sobolev constant for diffusion semigroups	1987	Andrzej Korzeniowski