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Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces

Aleman, Alexandru LU and Perfekt, Karl-Mikael LU (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:
author
and
organization
publishing date
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}},
}