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On the growth of Hardy and Bergman norms of functions in the Dirichlet space

 

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Opened Access On the growth of Hardy and Bergman norms of functions in the Dirichlet space
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Author: Vukotic, Dragan
Coordinator/Director: Montes Rodríguez, Alfonso
Date: 2005
Published in: First Advanced Course in Operator Theory and Complex Analysis (2005), p 147-154
ISBN/ISSN: 9788447210244
Document type: Presentation
Abstract: We review the Chang-Marshall inequality of Moser-Trudinger type for the Dirichlet space. We then use a weaker version of this result to derive a sharp asymptotic estimate for Hardy and Bergman norms of a Dirichlet function for large exponents.
Size: 177.6Kb
Format: PDF

URI: http://hdl.handle.net/11441/61435

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