On the rigidity and boundary regularity for Bakry-Emery-Kohn harmonic functions in Bergman metric on the unit ball in C^n
with some restriction of the coefficients of Taylor expansion for \psi at 1. We prove that any smooth B-E-K harmonic function on \overline {B}_n must be holomorphic in B_n. We study the regularity problem for the solution of the Dirichlet boundary value problem: ]]>
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2017-07, Vol.145 (7), p.2971 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | with some restriction of the coefficients of Taylor expansion for \psi at 1. We prove that any smooth B-E-K harmonic function on \overline {B}_n must be holomorphic in B_n. We study the regularity problem for the solution of the Dirichlet boundary value problem: ]]> |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/13501 |