Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO

DOI10.1016/j.jmaa.2009.08.006zbMath1184.42015OpenAlexW2025980194MaRDI QIDQ1043932

Jorge J. Betancor, Lourdes Rodríguez-Mesa, J. Carlos Fariña, Aníbal Chicco-Ruiz

Publication date: 10 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.006

zbMATH Keywords

maximal operatorsRiesz transformsBessel potentialsLittlewood-Paley transforms

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (19)

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 ⋮ Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions ⋮ 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 ⋮ Oscillation and variation for Riesz transform in setting of Bessel operators on \(H^1\) and BMO ⋮ 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 ⋮ A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications ⋮ The fractional Bessel equation in Hölder spaces ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ Characterizations of Hardy spaces associated with Laplace-Bessel operators ⋮ Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators ⋮ Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting ⋮ Square roots of the Bessel operators and the related Littlewood–Paley estimates

Cites Work

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• BMO results for operators associated to Hermite expansions
• Higher order Riesz transforms associated with Bessel operators
• On Hardy spaces associated with Bessel operators
• Weak-\(L^\infty\) and BMO
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• Weighted norm inequalities for generalized Hankel conjugate transformations
• ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS
• 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
• Hardy spaces generated by an integrability condition

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