Riesz transform and \(g\)-function associated with Bessel operators and their appropriate Banach spaces

DOI10.1007/s11856-006-0011-5zbMath1122.44001OpenAlexW2328345332MaRDI QIDQ877475

Teresa Martinez, José Luis Torrea, Jorge J. Betancor, J. Carlos Fariña

Publication date: 23 April 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-006-0011-5

zbMATH Keywords

Riesz transformsLittlewood-Paley \(g\)-functions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (16)

Higher-order Riesz transforms in the inverse Gaussian setting and UMD Banach spaces ⋮ Square functions and spectral multipliers for Bessel operators in UMD spaces ⋮ Parabolic equations involving Bessel operators and singular integrals ⋮ Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces ⋮ Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions ⋮ Littlewood-Paley-Stein theory and Banach spaces in the inverse Gaussian setting ⋮ Solutions of Weinstein type equations, Carleson measures and \(\mathrm{BMO}(\mathbb{R}_+, dm_\lambda)\) ⋮ UMD Banach spaces and the maximal regularity for the square root of several operators ⋮ Square functions in the Hermite setting for functions with values in UMD spaces ⋮ Lusin type and cotype for Laguerre \(g\)-functions ⋮ Uniformly convex and smooth Banach spaces and \(L^p\)-boundedness properties of Littlewood-Paley and area functions associated with semigroups ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ Calderón-Zygmund operators in the Bessel setting ⋮ Odd BMO\({(\mathbb{R})}\) functions and Carleson measures in the Bessel setting ⋮ Riesz transforms associated to Bessel operators ⋮ Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types

Cites Work

• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Vector-valued Littlewood--Paley--Stein theory for semigroups
• On convolution products of radial measures on the Heisenberg group
• Littlewood-Paley theory for functions with values in uniformly convex spaces
• Hankel Transforms and Gasp
• Riesz transforms related to Bessel operators
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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