A WEIGHTED L(2)-ESTIMATE FOR THE GREEN-FADDEEV FUNCTION FOR THE LAPLACE OPERATOR IN R(2)

[摘要] This paper studies the behavior of the Green-Faddeev function g(z)(x) in R(2) With z is an element of C-2/R(2) and z . z greater than or equal to 0. It is shown that the convolution operator D(alpha)g(z) * (\alpha\ less than or equal to 2) acting on suitable weighted L(2)-spaces has a norm dominated by O (\z\(\alpha\-1) A (\Re z\/\Im z\)) with a positive function A (r)(r greater than or equal to 0) if \z\ --> infinity and z . z greater than or equal to 0. (C) 1994 Academic Press, Inc.

[发布日期] 1994-11-15