scholarly journals Every bounded pseudo‐convex domain with Hölder boundary is hyperconvex

Author(s):  
Bo‐Yong Chen
1997 ◽  
Vol 147 ◽  
pp. 147-178 ◽  
Author(s):  
Der-Chen Chang ◽  
Bao Qin Li

AbstractLet Ω be a bounded, decoupled pseudo-convex domain of finite type in ℂn with smooth boundary. In this paper, we generalize results of Bonami-Grellier [BG] and Bonami-Chang-Grellier [BCG] to study weighted Bergman projections for weights which are a power of the distance to the boundary. We define a class of operators of Bergman type for which we develop a functional calculus. Then we may obtain Sobolev and Lipschitz estimates, both of isotropic and anisotropic type, for these projections.


1973 ◽  
Vol 201 (4) ◽  
pp. 265-268 ◽  
Author(s):  
J. J. Kohn ◽  
L. Nirenberg

OPSEARCH ◽  
1998 ◽  
Vol 35 (1) ◽  
pp. 32-44 ◽  
Author(s):  
S. K. Mishra

1963 ◽  
Vol 78 (1) ◽  
pp. 112 ◽  
Author(s):  
J. J. Kohn
Keyword(s):  

1973 ◽  
Vol 1 (2) ◽  
Author(s):  
F.J. Flaherty

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