Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces
(2011) In International Mathematics Research Notices- Abstract
- We show that for a fixed operator-valued analytic function $g$ the boundedness of the bilinear (Hankel-type) form
$(f,h)\to\int_\D\trace{g'^*fh'}(1-|z|^2)^\alpha \, \ud A$,
defined on appropriate cartesian products of dual weighted Dirichlet spaces of Schatten class-valued functions, is equivalent to corresponding Carleson embedding estimates.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2199951
- author
- Aleman, Alexandru LU and Perfekt, Karl-Mikael LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Hankel, Operator Theory, Complex Analysis, Carleson Embedding, Vector-valued
- in
- International Mathematics Research Notices
- publisher
- Oxford University Press
- external identifiers
-
- wos:000309463000005
- scopus:84866889131
- ISSN
- 1073-7928
- DOI
- 10.1093/imrn/rnr195
- language
- English
- LU publication?
- yes
- id
- cca3a3ad-978d-4aa4-95c9-f35bc55b0226 (old id 2199951)
- alternative location
- http://imrn.oxfordjournals.org/cgi/content/abstract/rnr195?ijkey=j0x4Ai5Fm6QVhRJ&keytype=ref
- date added to LUP
- 2016-04-01 10:37:30
- date last changed
- 2022-01-26 00:56:32
@article{cca3a3ad-978d-4aa4-95c9-f35bc55b0226, abstract = {{We show that for a fixed operator-valued analytic function $g$ the boundedness of the bilinear (Hankel-type) form <br/><br> $(f,h)\to\int_\D\trace{g'^*fh'}(1-|z|^2)^\alpha \, \ud A$,<br/><br> defined on appropriate cartesian products of dual weighted Dirichlet spaces of Schatten class-valued functions, is equivalent to corresponding Carleson embedding estimates.}}, author = {{Aleman, Alexandru and Perfekt, Karl-Mikael}}, issn = {{1073-7928}}, keywords = {{Hankel; Operator Theory; Complex Analysis; Carleson Embedding; Vector-valued}}, language = {{eng}}, publisher = {{Oxford University Press}}, series = {{International Mathematics Research Notices}}, title = {{Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces}}, url = {{http://dx.doi.org/10.1093/imrn/rnr195}}, doi = {{10.1093/imrn/rnr195}}, year = {{2011}}, }