# 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
$(f,h)\to\int_\D\trace{g'^*fh'}(1-|z|^2)^\alpha \, \ud A$,
defined on appropriate cartesian products of dual weighted Dirichlet spaces of Schatten class-valued functions, is equivalent to corresponding Carleson embedding estimates. Keywords Hankel, Operator Theory, Complex Analysis, Carleson Embedding, Vector-valued, ISBN/ISSN/Other ISSN: 1687-0247 (online)
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