Graham type theorem on classical bounded symmetric domains

DOI10.1007/s00526-019-1517-0zbMath1420.32024OpenAlexW2937298438WikidataQ128048659 ScholiaQ128048659MaRDI QIDQ1740495

Ren-Yu Chen, Song-Ying Li

Publication date: 30 April 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-019-1517-0

zbMATH Keywords

invariant harmonic functionsLaplace-Beltrami operatorpluriharmonic functionsbounded symmetric domains

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items

Sharp pointwise and uniform estimates for \(\bar{\partial} \), On the asymptotic expansions of the proper harmonic maps between balls in Bergman metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• On the rigidity theorem for harmonic functions in Kähler metric of Bergman type
• On the holomorphicity of proper harmonic maps between unit balls with the Bergman metrics
• The dirichlet problem for the bergman laplacian. I
• The dirichlet problem for the bezgman laplacian. II
• Elliptic Partial Differential Equations of Second Order
• H^p-theory for generalized M-harmonic functions in the unit ball
• Boundary behavior of harmonic functions in metrics of Bergman type on the polydisc
• Boundary regularity in the Dirichlet problem for the invariant Laplacians $\Delta _\gamma $ on the unit real ball