| Title | On Laplace-Carleson embedding theorems |
| Authors | Birgit Jacob, Jonathan R. Partington, Sandra Pott |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Functional Analysis |
| Year | 2013 |
| Volume | 264 |
| Issue | 3 |
| Pages | 783 - 814 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract 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. |
| Keywords | Hardy space, Weighted Bergman space, Laplace transform, Carleson measure, |
| ISBN/ISSN/Other | ISSN: 0022-1236 |
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