Right inverses for partial differential operators on Fourier hyperfunctions

被引：2

作者：

Langenbruch, Michael ^{[1
]}

机构：

[1] Carl von Ossietzky Univ Oldenburg, Dept Math, D-26111 Oldenburg, Germany

来源：

STUDIA MATHEMATICA | 2007年 / 183卷 / 03期

关键词：

partial differential operator; right inverses; Fourier hyperfunctions; Phragmen-Lindelof conditions; (Omega)-type conditions;

D O I：

10.4064/sm183-3-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the partial differential operators P(D) admitting a continuous linear right inverse in the space of Fourier hyperfunctions by means of a dual (Omega)-type estimate valid for the bounded holomorphic functions on the characteristic variety V-P near R-d. The estimate can be transferred to plurisubharmonic functions and is equivalent to a uniform (local) Phragmen-Lindelof-type condition.

引用

页码：273 / 299

页数：27

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