Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces
Författare
Summary, in English
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.
$(f,h)\to\int_\D\trace{g'^*fh'}(1-|z|^2)^\alpha \, \ud A$,
defined on appropriate cartesian products of dual weighted Dirichlet spaces of Schatten class-valued functions, is equivalent to corresponding Carleson embedding estimates.
Avdelning/ar
Publiceringsår
2011
Språk
Engelska
Publikation/Tidskrift/Serie
International Mathematics Research Notices
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Oxford University Press
Ämne
- Mathematics
Nyckelord
- Hankel
- Operator Theory
- Complex Analysis
- Carleson Embedding
- Vector-valued
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1073-7928