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Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces

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Author

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.

Publishing year

2011

Language

English

Publication/Series

International Mathematics Research Notices

Document type

Journal article

Publisher

Oxford University Press

Topic

  • Mathematics

Keywords

  • Hankel
  • Operator Theory
  • Complex Analysis
  • Carleson Embedding
  • Vector-valued

Status

Published

ISBN/ISSN/Other

  • ISSN: 1073-7928