scholarly journals Composition operators and embedding theorems for some function spaces of Dirichlet series

2019 ◽  
Vol 293 (3-4) ◽  
pp. 989-1014
Author(s):  
Frédéric Bayart ◽  
Ole Fredrik Brevig
Keyword(s):  
Dirichlet Series ◽  
Composition Operators ◽  
Function Spaces ◽  
Embedding Theorems

scholarly journals Carleson embeddings

1996 ◽  
Vol 1 (2) ◽  
pp. 193-201
Author(s):  
Helmut J. Heiming
Keyword(s):  
Hardy Spaces ◽  
Unit Disc ◽  
Carleson Measure ◽  
Composition Operators ◽  
Function Spaces ◽  
Main Topic ◽  
Embedding Theorems ◽  
Absolutely Continuous ◽  
Tent Spaces ◽  
Similar Kind

In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specificL q(μ)-spaces, whereμis a Carleson measure on the complex unit disc. Characterizing absolutelyq-summing, absolutely continuous andq-integral Carleson embeddings in terms of the underlying measure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embedding theorems for function spaces of similar kind.

Essential norm of weighted composition operators

Analysis ◽  
2018 ◽  
Vol 38 (3) ◽  
pp. 145-154
Author(s):  
Kuldip Raj ◽  
Charu Sharma
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Function Spaces ◽  
Weighted Composition Operators ◽  
Closed Range ◽  
Weighted Composition

Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.

scholarly journals A survey on composition operators on some function spaces

2020 ◽  
Author(s):  
Emma D’Aniello ◽  
Martina Maiuriello
Keyword(s):  
Composition Operators ◽  
Function Spaces

AbstractWe investigate some types of composition operators, linear and not, and conditions for some spaces to be mapped into themselves and for the operators to satisfy some good properties.

scholarly journals Isometric and Closed-Range Composition Operators between Bloch-Type Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-15
Author(s):  
Nina Zorboska
Keyword(s):  
Holomorphic Function ◽  
Composition Operators ◽  
Function Spaces ◽  
Complete Characterization ◽  
Closed Range ◽  
Different Types ◽  
Type Spaces ◽  
Range Determination

We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of the isometric univalently induced composition operators acting between Bloch-type spaces. We also add few results on the closed-range determination of composition operators on Bloch-type spaces and present the problems that are still open.

Sign in / Sign up

Export Citation Format

Share Document