Abstract
Let S + ( D ) S^+(D) denote the space of all positive superharmonic functions on a domain D ⊂ R n D \subset \mathbf R^n . Lindqvist showed that log S + ( D ) \log S^+(D) is a bounded subset of B M O ( D ) BMO(D) . Using this, we give a characterization of finitely connected 2 2 -dimensional uniform domains and remarks on Hölder domains.
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 callDisclaimer: 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.
