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.
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页码：273 / 299
页数：27
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