Factorization theorems for functions in the Bergman spaces

DOI10.1215/S0012-7094-77-04409-XzbMath0362.30031OpenAlexW2054450543MaRDI QIDQ1239829

Charles Horowitz

Publication date: 1977

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-77-04409-x

Mathematics Subject Classification ID

Related Items (29)

Uniformly discrete sequences in regions with tangential approach to the unit circle ⋮ Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Zero sequences, factorization and sampling measures for weighted Bergman spaces ⋮ Similarity of Parts to the Whole for Certain Multiplication Operators ⋮ Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems ⋮ Contractive inequalities for Bergman spaces and multiplicative Hankel forms ⋮ Multiplication and division in the space of analytic functions with area integrable derivative, and in some related spaces ⋮ Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights ⋮ On the non-vanishing of certain Poincaré series ⋮ Finite unions of interpolation sequences ⋮ On interpolating Blaschke products and Blaschke-oscillatory equations ⋮ New findings on the Bank-Sauer approach in oscillation theory ⋮ Sets of sampling and interpolation in Bergman spaces ⋮ Differential equations with solutions lying in the F(p, q, s) space ⋮ Pointwise products of some Banach function spaces and factorization ⋮ Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones ⋮ The zeros of functions in Nevanlinna's area class ⋮ Unnamed Item ⋮ Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball ⋮ Sharp estimates of multilinear operators in the polydisk and the unit ball ⋮ Composition operators that improve integrability on weighted Bergman spaces ⋮ Structure of the kernels associated with invariant subspaces of the Bergman shift ⋮ Weighted Bergman spaces induced by rapidly incresing weights ⋮ Lifting Hankel operators from the Hardy space to the Bergman space ⋮ Uniform densities of regular sequences in the unit disk ⋮ Fatorization of tent spaces and Hankel operators ⋮ A Survey on Blaschke-Oscillatory Differential Equations, with Updates ⋮ Critical Points, the Gauss Curvature Equation and Blaschke Products ⋮ On the action of Hankel and Toeplitz operators on some function spaces

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