Sökning: id:"swepub:oai:DiVA.org:mdh-64959" >
Hilbert spaces of a...
Hilbert spaces of analytic functions with a contractive backward shift
-
- Aleman, Alexandru (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
-
- Malman, Bartosz (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
-
(creator_code:org_t)
- Elsevier BV, 2019
- 2019
- Engelska.
-
Ingår i: Journal of Functional Analysis. - : Elsevier BV. - 0022-1236 .- 1096-0783. ; 277:1, s. 157-199
- Relaterad länk:
-
https://doi.org/10.1...
-
visa fler...
-
http://arxiv.org/pdf...
-
http://dx.doi.org/10...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
https://lup.lub.lu.s...
-
visa färre...
Abstract
Ämnesord
Stäng
- We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Hilbert spaces of analytic functions
- Backward shift
- Backward shift
- Hilbert spaces of analytic functions
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas