scholarly journals Extremal problems for vanishing functions in Bergman spaces

2021 ◽  
Author(s):  
Adrián Llinares ◽  
Dragan Vukotić
Keyword(s):  
Bergman Spaces ◽  
Extremal Problems

scholarly journals On some extremal problems in Bergman spaces in weakly pseudoconvex domains

2018 ◽  
Vol 26 (2) ◽  
pp. 83-97
Author(s):  
Romi F. Shamoyan ◽  
Olivera R. Mihić
Keyword(s):  
Distance Function ◽  
Bergman Kernel ◽  
Additional Condition ◽  
Bergman Spaces ◽  
Representation Formula ◽  
Extremal Problems ◽  
Bergman Projection ◽  
Pseudoconvex Domains ◽  
Weakly Pseudoconvex

AbstractWe consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂn based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_\alpha ^p$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.

Extremal Problems for Nonvanishing Functions in Bergman Spaces

2005 ◽  
pp. 59-86 ◽  
Author(s):  
Dov Aharonov ◽  
Catherine Bénéteau ◽  
Dmitry Khavinson ◽  
Harold Shapiro
Keyword(s):  
Bergman Spaces ◽  
Extremal Problems
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