Weighted composition operators on the Bergman space

R Zhao - Journal of the London Mathematical Society, 2004 - cambridge.org
Bounded, compact and Schatten class weighted composition operators on the Bergman
space are characterized by the use of generalized Berezin transforms. An estimate of the …

Products of differentiation, composition and multiplication from Bergman type spaces to Bers type spaces

X Zhu - Integral Transforms and Special Functions, 2007 - Taylor & Francis
Products of differentiation, composition and multiplication from Bergman type spaces to Bers type
spaces Page 1 Integral Transforms and Special Functions Vol. 18, No. 3, March 2007, 223–231 …

Invertible weighted composition operators

G Gunatillake - Journal of Functional Analysis, 2011 - Elsevier
A weighted composition operator C ψ, φ takes an analytic map f on the open unit disc of the
complex plane to the analytic map ψ⋅ f∘ φ where φ is an analytic map of the open unit disc …

Difference of composition operators between standard weighted Bergman spaces

E Saukko - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
We obtain estimates for the norm and essential norm of the difference of two composition
operators between certain Bergman spaces. In particular, a necessary and sufficient …

[HTML][HTML] Difference of weighted composition operators

BR Choe, K Choi, H Koo, J Yang - Journal of Functional Analysis, 2020 - Elsevier
We obtain complete characterizations in terms of Carleson measures for bounded/compact
differences of weighted composition operators acting on the standard weighted Bergman …

[HTML][HTML] Hardy spaces that support no compact composition operators

JH Shapiro, W Smith - Journal of Functional Analysis, 2003 - Elsevier
We consider, for G a simply connected domain and 0< p<∞, the Hardy space H p (G) formed
by fixing a Riemann map τ of the unit disc onto G, and demanding of functions F …

An application of atomic decomposition in Bergman spaces to the study of differences of composition operators

E Saukko - Journal of Functional Analysis, 2012 - Elsevier
In this paper we characterize bounded differences of composition operators from standard
weighted Bergman spaces Aαp into Lebesgue spaces Lq (μ) when α>− 1 and p> q. In the …

Weighted composition operators between different Hardy spaces

MD Contreras, AG Hernández-Díaz - Integral equations and operator …, 2003 - Springer
Let φ and ψ be two analytic functions defined on D such that φ(D)⊆D. The operator given by
f↦ψ(f∘φ) is called a weighted composition operator. In this paper we deal with the …

Weighted composition operators on the Zygmund space

S Ye, Q Hu - Abstract and Applied Analysis, 2012 - Wiley Online Library
Weighted Composition Operators on the Zygmund Space - Ye - 2012 - Abstract and Applied
Analysis - Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online …

[HTML][HTML] Weighted composition operators on Fock spaces and their dynamics

T Carroll, C Gilmore - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
Bounded weighted composition operators, as well as compact weighted composition
operators, on Fock spaces have been characterised. This characterisation is refined in terms …