A transference result of the \(L^p\)-continuity of the Jacobi Littlewood-Paley \(g\)-function to the Gaussian and Laguerre Littlewood-Paley \(g\)-function

DOI10.1155/2018/9304964zbMath1398.42014arXiv1612.05301OpenAlexW2565799063MaRDI QIDQ1671193

Eduard Navas, Wilfredo O. Urbina R.

Publication date: 6 September 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05301

zbMATH Keywords

Jacobi polynomialsasymptotic relationsHermite and Laguerre polynomials

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

\(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions

Cites Work

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• A transference result of the \(L^p\) continuity from Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms
• Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting
• Riesz transforms for Jacobi expansions
• On the Riesz transforms for Gaussian measures
• On Riesz transforms for Laguerre expansions
• Transference of Vector-valued Multipliers on Weighted L^p-spaces
• Linearization of the Product of Jacobi Polynomials. I

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