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- Title
THE DISCRETENESS OF SPECTRUM FOR HIGHER-ORDER DIFFERENTIAL OPERATORS IN WEIGHTED FUNCTION SPACES.
- Authors
ZHANG, MAOZHU; SUN, JIONG; AO, JIJUN
- Abstract
In this paper we consider the discreteness of spectrum for higher-order differential operators in weighted function spaces. Using the method of embedding theorems of weighted Sobolev spaces Hnp in weighted spaces Ls,r, we obtain a new sufficient and necessary condition to ensure that the spectrum is discrete, which can be easily used to judge the discreteness of some differential operators.
- Subjects
DISCRETE groups; DIFFERENTIAL operators; FUNCTION spaces; EMBEDDING theorems; SOBOLEV spaces
- Publication
Bulletin of the Australian Mathematical Society, 2012, Vol 86, Issue 3, p370
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972712000688