Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 983-990.

• Articles • Previous Articles     Next Articles

A Necessary Condition of some Linear Partial Differential Operator |that Admits a Continuous Linear Right Inverse

 WU Mi-Jing, WANG Guang   

  1. School of |Mathematical Science, Shanxi University, Taiyuan 030006
  • Received:2009-08-10 Revised:2010-10-08 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(61074048)和山西省回国人员基金资助

Abstract:

In the paper, the linear partial differential operator S(D=P(D)-∂2/∂2n+1) is disscused by using Phragmén-Lindel\"{o}f condition and d-quasihomogeneous polynomials, and a necessary condition of it, for which the continuous linear right inverse exists, is given.

Key words: Continuous linear right inverse, Phragmén-Lindel\"{o}f condition,  , d-quasihomogeneous polynomials

CLC Number: 

  • 46F05
Trendmd