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 Extremal problems in Bergman spaces and an extension of Ryabykh’s theorem

2011 ◽  
Vol 55 (2) ◽  
pp. 555-573
Author(s):  
Timothy Ferguson
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.

scholarly journals Certain linear extremal problems in Bergman spaces of analytic fucntions

1997 ◽  
Vol 46 (3) ◽  
pp. 0-0 ◽  
Author(s):  
D. Khavinson ◽  
M. Stessin
Keyword(s):  
Bergman Spaces ◽  
Extremal Problems

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

Three Extremal Problems in the Hardy and Bergman Spaces of Functions Analytic in a Disk

2018 ◽  
Vol 303 (S1) ◽  
pp. 25-35
Author(s):  
R. R. Akopyan ◽  
M. S. Saidusainov
Keyword(s):  
Bergman Spaces ◽  
Extremal Problems ◽  
Hardy And Bergman Spaces

scholarly journals Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection

2014 ◽  
Vol 14 (1) ◽  
pp. 35-61
Author(s):  
Timothy Ferguson
Keyword(s):  
Bergman Spaces ◽  
Extremal Problems ◽  
Bergman Projection

WEIGHTED BERGMAN SPACES, BLOCH SPACE AND DING SPACE

1989 ◽  
Vol 9 (3) ◽  
pp. 265-276 ◽  
Author(s):  
Zhijing Xiao
Keyword(s):  
Bloch Space ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces
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