Let in and p be increasing cont~inuous functions on [O. 11. ~( 0 ) =0, p ( 0 ) = 0 , and hEB[O, 13 (the space of ali bounded measurable functions 011 [0, rp(.)+h(.) j-(4s) clnc(s)EC[O, 13: and define for such functions f : Evidently, if b is continuous, the definition of DmDp concides with the us
Refinement of the spectral asymptotics of generalized Krein Feller operators
โ Scribed by Freiberg, Uta
- Book ID
- 118068596
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 2011
- Tongue
- English
- Weight
- 249 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0933-7741
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If nt is a nondecreasing function on the interval [O, I], 0 -=I -= 00, in [3] a descrip-(12 I ] lilotz/Langer, Generalized Resolvents and Spectral Functions and the CAUCHY-SCHWARZ inequality implies t (Os-tss). The il;tegral equation for @(.; z,,) gives 0 - The proof of (ii) is similar. - ## 2. C
## Abstract We investigate analytical properties of a measure geometric Laplacian which is given as the second derivative $ {d \over {d \mu}} {d \over {d \nu}} $ w.r.t. two atomless finite Borel measures __ฮผ__ and __ฮฝ__ with compact supports supp __ฮผ__ โ supp __ฮฝ__ on the real line. This class of o