Riesz transforms for Jacobi expansions
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Publication:940797
DOI10.1007/s11854-008-0027-3zbMath1151.43007arXiv0802.2369OpenAlexW2077132008MaRDI QIDQ940797
Publication date: 3 September 2008
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.2369
Riesz transform\(g\)-functionsconjugate Poisson integralsLittlewood-Paley-Stein theorymulti-dimensional Jacobi expansions
Related Items (17)
Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions ⋮ A transference result of the \(L^p\)-continuity of the Jacobi Littlewood-Paley \(g\)-function to the Gaussian and Laguerre Littlewood-Paley \(g\)-function ⋮ Dimension-free \(L^p\) estimates for vectors of Riesz transforms associated with orthogonal expansions ⋮ Sobolev spaces associated with Jacobi expansions ⋮ Dimension-free \(L^p\)-estimates for vectors of Riesz transforms in the rational Dunkl setting ⋮ Harmonic analysis associated with the Jacobi-Dunkl operator on \((-\pi, \pi)\): exotic cases ⋮ Dimension free \(L^p\) estimates for single Riesz transforms via an \(H^\infty\) joint functional calculus ⋮ Weak-type inequality for conjugate first order Riesz-Laguerre transforms ⋮ Littlewood-Paley-Stein type square functions based on Laguerre semigroups ⋮ A transference result of the \(L^p\) continuity from Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms ⋮ The Poisson operator for orthogonal polynomials in the multidimensional ball ⋮ Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting ⋮ Calderón-Zygmund operators related to Jacobi expansions ⋮ $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context ⋮ A solution space for a system of null-state partial differential equations. II ⋮ Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types ⋮ Operators associated with the Jacobi semigroup
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