Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights

被引：16
|
作者：
Asserda, Said [1 ]
Hichame, Amal [2 ]
机构：
[1] Ibn Tofail Univ, Dept Math, Fac Sci, Kenitra, Morocco
[2] Reg Ctr Trades Educ & Training, Kenitra, Morocco
来源：
COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 01期
关键词：
D O I：
10.1016/j.crma.2013.11.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let AL(phi)(2) (D) denote the closed subspace of L-2(D, e(-2 phi) d lambda) consisting of holomorphic functions in the unit disc D. For certain class of subharmonic functions phi : D -> D, we prove an upper pointwise estimate for the Bergman kernel for AL(phi)(2) (D). (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：13 / 16
页数：4
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