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Differences of generalized weighted composition operators between growth spaces

Weifeng Yang, Xiangling Zhu (2014)

Annales Polonici Mathematici

Let φ and ψ be analytic self-maps of 𝔻. Using the pseudo-hyperbolic distance ρ(φ,ψ), we completely characterize the boundedness and compactness of the difference of generalized weighted composition operators between growth spaces.

Differential rings of meromorphic functions

E. Straus (1972)

Acta Arithmetica

Differentially closed ideals in rings of analytic functions.

James J. Kelleher (1977)

Journal für die reine und angewandte Mathematik

Distributions on Kronecker sets, strong forms of uniqueness, and closed ideals of A+.

Jean Esterle (1994)

Journal für die reine und angewandte Mathematik

Divisibility Structure and Finitely Generated Ideals in the Disc Algebra.

Michael von Renteln (1976)

Monatshefte für Mathematik

Domains with Finite Dimensional Bergman Space.

Wiegerinck, Jan J.O.O. (1984)

Mathematische Zeitschrift

Douglas algebras without maximal subalgebra and without minimal superalgebra.

Guillory, Carroll (2001)

Abstract and Applied Analysis

Duals to weighted spaces of analytic functions.

Abuzyarova, N.F., Yulmukhametov, R.S. (2001)

Sibirskij Matematicheskij Zhurnal

Dynamics of complex singularities in 1D nonlinear parabolic PDE's

Zoran Grujić (2001)

Studia Mathematica

We establish local-in-time smoothing of a simple model nonlinear parabolic PDE in a scale of weighted Bergman spaces on a strip provided the weights are not too singular. This constitutes a very strong smoothing property since an immediate consequence is that the PDE can "push away" an algebraic-type complex singularity provided that the order of the singularity is small enough.

Dynamics of composition operators in analytic functional Hilbert spaces. (Dinámica de operadores de composición en espacios de Hilbert funcionales analíticos.)

Chacón, Gerardo R., Giménez, José, Rojas, Edixon (2005)

Boletín de la Asociación Matemática Venezolana

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