Abstract

We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted L spaces when p > 4 3 , where the weight is a power of the distance to the singular boundary point. For 1 < p ≤ 4 3 we show that no such weighted estimates are possible.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.