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

被引：17

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

页码：13 / 16

页数：4

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