Abrtract. Sufficient conditions are given such that the product T1T2 of two unbounded operators in Hilbert spaces is essentially selfadjoint and that the nonzero numbers in the essential spectrum of the closure of TlT2 coincide with the nonzero numbers in the essential spectrum of T2T1. If the essen
On essential spectrum of a class of singular integral operators
β Scribed by R.U Verma
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 226 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0022-247X
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## Abstract We study the properties of essential selfβadjointness on __C__^β^~__c__~ (β^__N__^ ) and semigroup ultracontractivity of a class of singular second order elliptic operators equation image defined in __L__^2^ (β^__N__^ , __Ο__^β__a__ β__N__^ (__x__) __dx__) with Dirichlet boundary con
In this paper we prove that C-Z type singular integral operators Tf s p.Β¨H ) f are bounded from H p to L p and from H p to H p , 0p F 1, under conditions on and stronger < Ε½ . Ε½ .< than the standard Hormander condition H H x y y y H x dx F C. Β¨<x<)2< y <