Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions

被引：27
|
作者：
Bandtlow, Oscar E. [1 ]
Jenkinson, Oliver [1 ]
机构：
[1] Univ London, Sch Math Sci, London E1 4NS, England
来源：
ADVANCES IN MATHEMATICS | 2008年 / 218卷 / 03期
关键词：
transfer operators; Bergman spaces; eigenvalue asymptotics;
D O I：
10.1016/j.aim.2008.02.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider transfer operators acting on spaces of holomorphic functions, and provide explicit bounds for their eigenvalues. More precisely, if Omega is any open set in C-d, and L is a suitable transfer operator acting on Bergman space A(2)(Omega), its eigenvalue sequence {lambda(n) (L)} is bounded by vertical bar lambda(n) (L)vertical bar <= A exp(-an(1/d)), where a, A > 0 are explicitly given. (c) 2008 Elsevier Inc. All rights reserved.
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页码：902 / 925
页数：24
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