Sampling measures for Bergman spaces on the unit disk

DOI10.1007/s002080050348zbMath0971.46014OpenAlexW1987827467MaRDI QIDQ1568697

Daniel H. Luecking

Publication date: 4 November 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050348

zbMATH Keywords

Carleson measureweighted Bergman spacesampling measureweak\(^*\) limits of Moebius transforms

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (11)

Zero sequences, factorization and sampling measures for weighted Bergman spaces ⋮ On minimal trajectories for mobile sampling of bandlimited fields ⋮ Closed range composition operators on Besov type spaces ⋮ Carleson and sampling measures on Bernstein spaces on Siegel CR manifolds ⋮ Sampling measure on Bergman spaces ⋮ Dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces ⋮ Sampling measure on doubling Fock spaces ⋮ Sampling measures for the Gabor transform ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Carleson and reverse Carleson measures on homogeneous Siegel domains ⋮ Sampling trajectories for the short-time Fourier transform

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