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Mixed norm estimates for the Riesz transforms on $SU(2)$

Pradeep Boggarapu and S. Thangavelu

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In this paper we prove mixed norm estimates for Riesz transforms on the group $SU(2)$. From these results vector valued inequalities for sequences of Riesz transforms associated to Jacobi differential operators of different types are deduced.

Article information

Publ. Mat., Volume 60, Number 1 (2016), 171-190.

First available in Project Euclid: 22 December 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 47G40: Potential operators [See also 31-XX] 26A33: Fractional derivatives and integrals 43A90: Spherical functions [See also 22E45, 22E46, 33C55]
Secondary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B35: Function spaces arising in harmonic analysis 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions]

Riesz transforms the group $SU(2)$ Jacobi polynomials Jacobi differential operator mixed norm inequalities


Boggarapu, Pradeep; Thangavelu, S. Mixed norm estimates for the Riesz transforms on $SU(2)$. Publ. Mat. 60 (2016), no. 1, 171--190.

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