A smoothing property of the Bergman projection

作者：Herbig A K^*; McNeal J D

来源：Mathematische Annalen, 2012, 354(2): 427-449.

DOI：10.1007/s00208-011-0734-4

Let B be the Bergman projection associated to a domain Omega on which the -Neumann operator is compact. We show that arbitrary L (2) derivatives of Bf are controlled by derivatives of f taken in a single, distinguished direction. As a consequence, functions not contained in that are mapped by B to are explicitly described.

• 出版日期2012-10