Mathematical Sciences

Lund University

Title Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces
Authors Alexandru Aleman, Karl-Mikael Perfekt
Alternative Location http://imrn.oxfordjournals...., Restricted Access
Alternative Location http://dx.doi.org/10.1093/i..., Restricted Access
Publication International Mathematics Research Notices (IMRN)
Year 2011
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Oxford University Press
Abstract English We show that for a fixed operator-valued analytic function $g$ the boundedness of the bilinear (Hankel-type) form <br> $(f,h)\to\int_\D\trace{g&#39;^*fh&#39;}(1-|z|^2)^\alpha \, \ud A$,<br> defined on appropriate cartesian products of dual weighted Dirichlet spaces of Schatten class-valued functions, is equivalent to corresponding Carleson embedding estimates.
Keywords Hankel, Operator Theory, Complex Analysis, Carleson Embedding, Vector-valued,
ISBN/ISSN/Other ISSN: 1687-0247 (online)