Compact Sobolev imbeddings for pepper sets
β Scribed by Robert A Adams
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 185 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-247X
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The aim of this wok is to show how the weak compactness in the L 1 (X, m) space may be used to relate the existence of a Sobolev Orlicz imbedding to the L 2 (X, m)spectral properties of an operator H. In the first part we show that a Sobolev Orlicz imbedding implies that the bottom of the L 2 -spect
The following "rational" moment problem is discussed. Given distinct real numbers \(\lambda_{1}, \lambda_{2}, \ldots, \lambda_{p}\) (the "poles" of the problem), real numbers \(c_{0}\) and \(c_{j}^{(i)}\) \((j=1,2,3, \ldots ; i=1,2, \ldots, p)\), and a non-empty compact subset \(K\) of \((-\infty,+\