A Survey on Bergman Completeness

Chen, Bo-Yong

doi:10.1007/978-4-431-55744-9_7

Springer Proceedings in Mathematics &Amp; Statistics

2015

DOI: 10.1007/978-4-431-55744-9_7

|View full text |Cite

A Survey on Bergman Completeness

Bo-Yong Chen

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

$$L_h^2$$ L h 2 -Functions in Unbounded Balanced Domains

Pflug

Zwonek

2017

J Geom Anal

View full text Add to dashboard Cite

We investigate problems related with the existence of square integrable holomorphic functions on (unbounded) balanced domains. In particular, we solve the problem of Wiegerinck for balanced domains in dimension two. We also give a description of L 2 h -domains of holomorphy in the class of balanced domains and present a purely algebraic criterion for homogeneous polynomials to be square integrable in a pseudoconvex balanced domain in C 2 . This allows easily to decide which pseudoconvex balanced domain in C 2 has a positive Bergman kernel and which admits the Bergman metric.

show abstract

$$L_h^2$$ L h 2 -Functions in Unbounded Balanced Domains

Pflug

Zwonek

2017

J Geom Anal

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

customersupport@researchsolutions.com

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

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

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.

A Survey on Bergman Completeness

Cited by 1 publication

References 42 publications

$$L_h^2$$ L h 2 -Functions in Unbounded Balanced Domains

$$L_h^2$$ L h 2 -Functions in Unbounded Balanced Domains

Contact Info

Product

Resources

About