Bergman spaces and Carleson measures on homogeneous isotropic trees

DOI10.1007/s11118-015-9529-7zbMath1348.42022OpenAlexW2295071071MaRDI QIDQ283442

David Singman, Joel M. Cohen, Flavia Colonna, Massimo A. Picardello

Publication date: 13 May 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-015-9529-7

zbMATH Keywords

Bergman spacesCarleson measuresPoisson kernelsubharmonic functionsGreen kernelisotropic homogeneous treestransition operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic analysis in several variables (42B99) Bergman spaces of functions in several complex variables (32A36)

Related Items (2)

Poincaré and Hardy Inequalities on Homogeneous Trees ⋮ Carleson measures for non-negative subharmonic functions on homogeneous trees

Cites Work

• Carleson and vanishing Carleson measures on radial trees
• Carleson measures on a homogeneous tree
• Spherical functions and harmonic analysis on free groups
• The Green formula and \(H^ p\) spaces on trees
• Interpolations by bounded analytic functions and the corona problem
• An Interpolation Problem for Bounded Analytic Functions
• A Technique for Characterizing Carleson Measures on Bergman Spaces
• A Carleson Measure Theorem for Bergman Spaces
• Extension of a theorem of Carleson
• A Maximal Function Characterization of the Class H p
• Embedding theorems for weighted classes of harmonic and analytic functions
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