Construction of Green functions for weighted biharmonic operators

[摘要] A constructive proof is given of the existence of the weighted biharmonic Green function Gamma(alpha) for alpha greater than or equal to 0. The method is used to derive the explicit formula for Gamma(1) previously stated by Hedenmalm. In addition, a formula for Gamma(2) is found, which is then shown to take both positive and negative values in the bidisk D x D. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-12-15

[关键词] Bergman space;Green function;biharmonic