A Sharp Constant for the Bergman Projection

Canadian mathematical bulletin

Marijan Marković¹ 

[1] Faculty of Natural Sciences and Mathematics, University of Montenegro, Cetinjski put b.b., 81000 Podgorica, Montenegro

关键词: Bergman projections;    Besov spaces;   

DOI  :  10.4153/CMB-2014-034-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

For the Bergman projection operator $P$ we prove thategin{equation*}|Pcolon L^1(B,dlambda)ightarrow B_1| = frac {(2n+1)!}{n!}.end{equation*}Here $lambda$ stands for the hyperbolic metric in the unit ball $B$ of$mathbb{C}^n$, and $B_1$ denotes the Besov space with an adequatesemi--norm. We also consider a generalization of this result. This generalizessome recent results due to Perälä.

【 授权许可】

Unknown