On Laplace-Carleson embedding theorems
Research output: Contribution to journal › Article
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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Functional Analysis|
|Publication status||Published - 2013|