1. On Hankel Forms of Higher Weights: The Case of Hardy Spaces
- Author
-
Marcus Sundhäll and Edgar Tchoundja
- Subjects
Class (set theory) ,Pure mathematics ,Group (mathematics) ,General Mathematics ,Hardy space ,Characterization (mathematics) ,Carleson measure ,Algebra ,symbols.namesake ,Bounded function ,symbols ,Hankel matrix ,Möbius transformation ,Mathematics - Abstract
In this paper we study bilinear Hankel forms of higher weights on Hardy spaces in several dimensions. (The Schatten class Hankel forms of higher weights on weighted Bergman spaces have already been studied by Janson and Peetre for one dimension and by Sundh¨all for several dimensions). We get a full characterization of Schatten class Hankel forms in terms of conditions for the symbols to be in certain Besov spaces. Also, the Hankel forms are bounded and compact if and only if the symbols satisfy certain Carleson measure criteria and vanishing Carleson measure criteria, respectively.
- Published
- 2010