Odd BMO\({(\mathbb{R})}\) functions and Carleson measures in the Bessel setting

DOI10.1007/s00020-010-1757-zzbMath1193.42096OpenAlexW2046393698MaRDI QIDQ989588

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

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1757-z

zbMATH Keywords

BMOCarleson measureBessel operatorPoisson and heat semigroups

Mathematics Subject Classification ID

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

Related Items (8)

Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions ⋮ 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 ⋮ BMO functions and balayage of Carleson measures in the Bessel setting ⋮ The fractional Bessel equation in Hölder spaces ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ 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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• Variation diminishing Hankel transforms
• Riesz transform and \(g\)-function associated with Bessel operators and their appropriate Banach spaces
• Comparison of the classical BMO with the BMO spaces associated with operators and applications
• \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• Integral Equations Associated with Hankel Convolutions
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Discontinuous Integrals and Generalized Potential Theory
• Hardy spaces generated by an integrability condition

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