On Laplace-Carleson embedding theorems

Research output: Contribution to journalArticle


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

  • Mathematics


  • Hardy space, Weighted Bergman space, Laplace transform, Carleson measure
Original languageEnglish
Pages (from-to)783-814
JournalJournal of Functional Analysis
Issue number3
Publication statusPublished - 2013
Publication categoryResearch