Abstract
The paper continues the investigation of holomorphic mixed norm spaces A p,q in the unit polydisc of n . We prove that a mixed norm is equivalent to a “derivative norm” for all 0 <p ≤∞ , 0 <q< ∞ and a large class of weights �. As an application, we prove that pluriharmonic conjugation is bounded in these mixed norm spaces. 2000 AMS Subject Classification: 32A37, 32A36.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.