带有非Carleman位移的奇异积分算子的Noether性质
来源期刊:中南大学学报(自然科学版)1988年第4期
论文作者:吕德
文章页码:453 - 458
关键词:奇异积分算子; 紧算子; 位移边界
Key words:singular integral operator; compact operator; displacement boundary
摘 要:本文讨论带有非Carleman位移的奇异积分算子K的Noether性质。借助于四个非积分算子A±和B±,把研究算子K归结为研究算子A±和B±。在对位移α(t)作不同的假设条件下,文中得到了空间LP(Г)中算子A±和B±的Noether条件,从而给出算子K的Noether性充分条件。
Abstract: The main purpose of this paper is to discuss the Noether′s property of singular integraloperator K with non-Carleman′s shift.With the help of four non-integral operators A± nd B±,the Noether′s property of K is reduced to the corresponding property of A± and B± n our study.Based on various hypotheses for displacement a(t),we obtain the Noether′s onditions of A± and B± in space Lp(Г)and thereby find out sufficient conditions of Noether′s roperty for operatorK.