A criterion for the neumann type problem over a differential complex on a strongly pseudo convex domain

1983 ◽  
Vol 264 (4) ◽  
pp. 525-535 ◽  
Author(s):  
Takao Akahori
Keyword(s):  
Convex Domain ◽  
Type Problem ◽  
Neumann Type ◽  
Pseudo Convex Domain ◽  
Differential Complex ◽  
Pseudo Convex

scholarly journals Sobolev and Lipschitz estimates for weighted Bergman projections

1997 ◽  
Vol 147 ◽  
pp. 147-178 ◽  
Author(s):  
Der-Chen Chang ◽  
Bao Qin Li
Keyword(s):  
Finite Type ◽  
Convex Domain ◽  
Functional Calculus ◽  
Smooth Boundary ◽  
Lipschitz Estimates ◽  
Pseudo Convex Domain ◽  
Pseudo Convex ◽  
Bergman Projections ◽  
Distance To The Boundary

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.

A pseudo-convex domain not admitting a holomorphic support function

1973 ◽  
Vol 201 (4) ◽  
pp. 265-268 ◽  
Author(s):  
J. J. Kohn ◽  
L. Nirenberg
Keyword(s):  
Convex Domain ◽  
Support Function ◽  
Pseudo Convex Domain ◽  
Pseudo Convex

scholarly journals Well-posedness of a Neumann-type problem on a gauge ball in H-type groups

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Mukund Madhav Mishra ◽  
Ashutosh Pandey
Keyword(s):  
Well Posedness ◽  
Type Problem ◽  
Neumann Type
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