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On Laplace-Carleson embedding theorems

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Author

Summary, in English

This paper gives embedding theorems for a very general class of weighted Bergman spaces: the results include a number of classical Carleson embedding theorems as special cases. The little Hankel operators on these Bergman spaces are also considered. Next, a study is made of Carleson embeddings in the right half-plane induced by taking the Laplace transform of functions defined on the positive half-line (these embeddings have applications in control theory): particular attention is given to the case of a sectorial measure or a measure supported on a strip, and complete necessary and sufficient conditions for a bounded embedding are given in many cases. (C) 2012 Elsevier Inc. All rights reserved.

Publishing year

2013

Language

English

Pages

783-814

Publication/Series

Journal of Functional Analysis

Volume

264

Issue

3

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • Hardy space
  • Weighted Bergman space
  • Laplace transform
  • Carleson measure

Status

Published

ISBN/ISSN/Other

  • ISSN: 0022-1236