On the structure of Bergman and poly-Bergman spaces

被引：70

作者：

Vasilevski, NL ^{[1
]}

机构：

[1] IPN, CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1999年 / 33卷 / 04期

关键词：

46E20; 46E22;

D O I：

10.1007/BF01291838

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let II be the upper half-plane in C, consider the Bergman space A(2)(II), the subspace of all analytic functions from L-2(II). The complete decomposition of L-2(II) onto Bergman and Bergman type spaces of poly-analytic and poly-antianalytic functions is obtained. The orthogonal Bergman type projections onto each of these subspaces are described. Connections with the Hardy spaces and the Szego projections are established.

引用

页码：471 / 488

页数：18