ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS

DOI10.1017/S0017089508004539zbMath1151.42008MaRDI QIDQ5302630

Alejandro Sanabria, Jorge J. Betancor, J. Carlos Fariña

Publication date: 8 January 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15)

Related Items (26)

Square functions and spectral multipliers for Bessel operators in UMD spaces ⋮ Oscillation and variation for semigroups associated with Bessel operators ⋮ REAL-VARIABLE CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BESSEL OPERATORS ⋮ Compactness of Riesz transform commutator associated with Bessel operators ⋮ Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ The two-weight inequality for the Poisson operator in the Bessel setting ⋮ Boundedness of operators on weighted Morrey-Campanato spaces in the Bessel setting ⋮ Bounded Bessel-type operators on \(\mathrm{BMO}^2_{\alpha}(\mathbb{R}_+)\) ⋮ Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators ⋮ Product BMO, little BMO, and Riesz commutators in the Bessel setting ⋮ Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting ⋮ Littlewood-Paley-Stein type square functions based on Laguerre semigroups ⋮ Calderón-Zygmund operators in the Bessel setting for all possible type indices ⋮ Calderón-Zygmund operators related to Jacobi expansions ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ Calderón-Zygmund operators in the Bessel setting ⋮ Characterizations of Hardy spaces associated with Laplace-Bessel operators ⋮ Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators ⋮ Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types ⋮ Strong- and weak-type estimate for Littlewood-Paley operators associated with Laplace-Bessel differential operator ⋮ On Hardy spaces associated with Bessel operators ⋮ Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO ⋮ Square roots of the Bessel operators and the related Littlewood–Paley estimates ⋮ Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions

Cites Work

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• Higher Riesz transforms and imaginary powers associated to the harmonic oscillator
• Lipschitz functions on spaces of homogeneous type
• A decomposition into atoms of distributions on spaces of homogeneous type
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• On g-functions for Hermite function expansions
• Riesz transforms for multi-dimensional Laguerre function expansions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Calderón–Zygmund Operators Associated to Ultraspherical Expansions
• 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)
• Discontinuous Integrals and Generalized Potential Theory

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