Bergman Projection on the Symmetrized Bidisk

We study the $L^p$ regularity of the Bergman projection P over the symmetrized polydisc in $\mathbb C^n$ . We give a decomposition of the Bergman projection on the polydisc and obtain an operator equivalent to the Bergman projection over antisymmetric function spaces. Using it, we obtain the $L^p$ irregularity of P for $p=\frac {2n}{n-1}$ which also implies that P is $L^p$ bounded if and only if $p\in (\frac {2n}{n+1},\frac {2n}{n-1})$ .

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.

Bergman Projection on the Symmetrized Bidisk

Cited by 2 publications

References 30 publications

Weak-type estimates of the Bergman projection on a class of singular Reinhardt domains

Weak-type estimates of the Bergman projection on a class of singular Reinhardt domains

$L^p$ regularity of the Bergman projection on the symmetrized polydisc

Contact Info

Product

Resources

About