Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers
DOI10.1016/j.jat.2023.105940arXiv1906.07999OpenAlexW2952426215MaRDI QIDQ6093304
Alberto Arenas, Edgar Labarga, Óscar Ciaurri
Publication date: 6 September 2023
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.07999
Jacobi polynomialsweighted norm inequalitiesdiscrete harmonic analysisLaplace type multipliersLittlewood-Paley-Stein \(g_k\)-functions
Markov semigroups and applications to diffusion processes (47D07) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Discrete version of topics in analysis (39A12)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings
- Calderón-Zygmund operators in the Bessel setting
- Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup
- Discrete harmonic analysis associated with ultraspherical expansions
- A sharp weighted transplantation theorem for Laguerre function expansions
- Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform
- Littlewood-Paley-Stein \(g_k\)-functions for Fourier-Bessel expansions
- A weighted transplantation theorem for Jacobi coefficients
- Analysis related to all admissible type parameters in the Jacobi setting
- On g-functions for Hermite function expansions
- Harmonic analysis associated with a discrete Laplacian
- A transplantation theorem for Jacobi coefficients
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
