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- Aleman, AlexandruLund 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 (author)
Hilbert spaces of analytic functions with a contractive backward shift
- Article/chapterEnglish2019
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- Elsevier BV,2019
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:mdh-64959
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-64959URI
- https://doi.org/10.1016/j.jfa.2018.08.019DOI
- https://lup.lub.lu.se/record/8497ce4b-adc0-4c87-8933-5dcbf98d6c46URI
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- Language:English
- Summary in:English
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- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Hilbert spaces of analytic functions
- Backward shift
- Backward shift
- Hilbert spaces of analytic functions
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- Malman, BartoszLund 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(Swepub:lu)math-bma (author)
- Matematik (naturvetenskapliga fakulteten)Matematikcentrum (creator_code:org_t)
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- In:Journal of Functional Analysis: Elsevier BV277:1, s. 157-1990022-12361096-0783
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