Ck-estimates for the -equation on convex domains of finite type

2005 ◽  
Vol 252 (3) ◽  
pp. 473-496 ◽  
Author(s):  
William Alexandre
Keyword(s):  
Finite Type ◽  
Convex Domains

Zero Varieties for the Nevanlinna Class in Convex Domains of Finite Type in \Bbb C n

1998 ◽  
Vol 147 (2) ◽  
pp. 391 ◽  
Author(s):  
Joaquim Bruna ◽  
Philippe Charpentier ◽  
Yves Dupain
Keyword(s):  
Finite Type ◽  
Convex Domains ◽  
Nevanlinna Class

scholarly journals Gain of Regularity in Extension Problem on Convex Domains

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
M. Jasiczak
Keyword(s):  
Finite Type ◽  
Bergman Space ◽  
Bergman Spaces ◽  
Extension Problem ◽  
Convex Domains

We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type. We prove that there exists a constantdsuch that on Bergman spacesHp(D)with1≤p<dthere appears the so-called “gain regularity.” The constantddepends on the minimum of the dimension and the codimension of the subvariety. This means that the space of functions which admit an extension to a function in the Bergman spaceHp(D)is strictly larger thanHp(D∩A), whereAis a subvariety.

scholarly journals Weighted Lipschitz estimates for ∂¯ on convex domains of finite type

2010 ◽  
Vol 368 (1) ◽  
pp. 190-210
Author(s):  
Jisoo Byun ◽  
Hong Rae Cho ◽  
Jong-Do Park
Keyword(s):  
Finite Type ◽  
Convex Domains ◽  
Lipschitz Estimates
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