Polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces

Zhu, Xiangling; Hu, Qinghua; Qu, Dan

doi:10.1002/mma.9647

Math Methods in App Sciences

2023

DOI: 10.1002/mma.9647

|View full text |Cite

Polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces

Xiangling Zhu,

Qinghua Hu,

Dan Qu

Abstract: We give some characterizations for the boundedness, compactness, and essential norm of some Stević–Sharma‐type operators called the polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces on the unit disk.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 50 publications

(96 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

Sums of Generalized Weighted Composition Operators from Weighted Bergman Spaces Induced by Doubling Weights into Bloch-Type Spaces

Zhu,

2024

Axioms

View full text Add to dashboard Cite

The single generalized weighted composition operator Du,ψn on various spaces of analytic functions has been investigated for decades, i.e., Du,ψnf=u·(f(n)∘ψ), where f∈H(D). However, the study of the finite sum of generalized weighted composition operators with different orders, i.e., PU,ψkf=u0·f∘ψ+u1·f′∘ψ+⋯+uk·f(k)∘ψ, is far from complete. The boundedness, compactness and essential norm of sums of generalized weighted composition operators from weighted Bergman spaces with doubling weights into Bloch-type spaces are investigated. We show a rigidity property of PU,ψk. Specifically, the boundedness and compactness of the sum PU,ψk is equivalent to those of each Dun,ψn, 0≤n≤k.

show abstract

Sums of Generalized Weighted Composition Operators from Weighted Bergman Spaces Induced by Doubling Weights into Bloch-Type Spaces

Zhu,

2024

Axioms

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces

Abstract: We give some characterizations for the boundedness, compactness, and essential norm of some Stević–Sharma‐type operators called the polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces on the unit disk.

Cited by 1 publication

References 50 publications

Sums of Generalized Weighted Composition Operators from Weighted Bergman Spaces Induced by Doubling Weights into Bloch-Type Spaces

Sums of Generalized Weighted Composition Operators from Weighted Bergman Spaces Induced by Doubling Weights into Bloch-Type Spaces

Contact Info

Product

Resources

About