Harmonic Bergman spaces, the Poisson equation and the dual of Hardy-type spaces on certain noncompact manifolds

DOI10.2422/2036-2145.201301_006zbMath1347.42041arXiv1305.1127OpenAlexW1524614409MaRDI QIDQ2792157

Giancarlo Mauceri, Maria Vallarino, Stefano Meda

Publication date: 8 March 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1127

zbMATH Keywords

Poisson equationHardy-type spacesharmonic Bergman spacesnoncompact manifolds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Calculus on manifolds; nonlinear operators (58C99)

Related Items (8)

Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds ⋮ Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds ⋮ Dual spaces of anisotropic mixed-norm Hardy spaces ⋮ On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property ⋮ Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator ⋮ Singular integrals and Hardy type spaces for the inverse Gauss measure ⋮ BMO spaces on weighted homogeneous trees ⋮ Higher order Riesz transforms on noncompact symmetric spaces

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