Complete Nevanlinna-Pick property of Dirichlet-type spaces
(2002) In Journal of Functional Analysis 191(2). p.276-296- Abstract
- We prove that all Dirichlet-type spaces of functions analytic in the unit disk whose derivatives are square area integrable with superharmonic weights have complete Nevanlinna-Pick reproducing kernels. As a corollary, we obtain a commutant lifting theorem for cyclic analytic two-isometries. (C) 2002 Elsevier Science (USA).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/334499
- author
- Shimorin, Serguei LU
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Functional Analysis
- volume
- 191
- issue
- 2
- pages
- 276 - 296
- publisher
- Elsevier
- external identifiers
-
- wos:000176524500004
- scopus:0036611692
- ISSN
- 0022-1236
- DOI
- 10.1006/jfan.2001.3871
- language
- English
- LU publication?
- yes
- id
- 0cc1bf2b-de83-45dd-bd7b-b9099fc8fdc6 (old id 334499)
- date added to LUP
- 2016-04-01 17:00:10
- date last changed
- 2022-03-30 19:48:08
@article{0cc1bf2b-de83-45dd-bd7b-b9099fc8fdc6, abstract = {{We prove that all Dirichlet-type spaces of functions analytic in the unit disk whose derivatives are square area integrable with superharmonic weights have complete Nevanlinna-Pick reproducing kernels. As a corollary, we obtain a commutant lifting theorem for cyclic analytic two-isometries. (C) 2002 Elsevier Science (USA).}}, author = {{Shimorin, Serguei}}, issn = {{0022-1236}}, language = {{eng}}, number = {{2}}, pages = {{276--296}}, publisher = {{Elsevier}}, series = {{Journal of Functional Analysis}}, title = {{Complete Nevanlinna-Pick property of Dirichlet-type spaces}}, url = {{http://dx.doi.org/10.1006/jfan.2001.3871}}, doi = {{10.1006/jfan.2001.3871}}, volume = {{191}}, year = {{2002}}, }