On Laplace-Carleson embedding theorems

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.

• Författare: Birgit Jacob; Jonathan R. Partington; Sandra Pott
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten)
• Publiceringsår: 2013
• Språk: Engelska
• Sidor: 783-814
• Publikation/Tidskrift/Serie: Journal of Functional Analysis
• Volym: 264
• Issue: 3
• Länkar: http://dx.doi.org/10.1016/j.jfa.2012.11.016
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: Hardy space; Weighted Bergman space; Laplace transform; Carleson measure
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 0022-1236