Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators
Pradeep, Boggarapu ; Thangavelu, Sundaram
Annales mathématiques Blaise Pascal, Tome 22 (2015), p. 89-120 / Harvested from Numdam
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In this paper we study weighted mixed norm estimates for Riesz transforms associated to Dunkl harmonic oscillators. The idea is to show that the required inequalities are equivalent to certain vector valued inequalities for operator defined in terms of Laguerre expansions. In certain cases the main result can be deduced from the corresponding result for Hermite Riesz transforms.

Publié le : 2015-01-01
DOI : https://doi.org/10.5802/ambp.347
Classification:  42C10,  47G40,  26A33,  43A90,  42B20,  42B35,  33C44 
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     author = {Pradeep, Boggarapu and Thangavelu, Sundaram},
     title = {Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {22},
     year = {2015},
     pages = {89-120},
     doi = {10.5802/ambp.347},
     zbl = {1327.42031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2015__22_1_89_0}
}

Pradeep, Boggarapu; Thangavelu, Sundaram . Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators. Annales mathématiques Blaise Pascal, Tome 22 (2015) pp. 89-120. doi : 10.5802/ambp.347. http://gdmltest.u-ga.fr/item/AMBP_2015__22_1_89_0/

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