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, 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)