On Hankel Forms of Higher Weights: The Case of Hardy Spaces
Journal article, 2010
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 Sundhall 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.
Bergman spaces
spaces
criteria
group
Mobius
Hankel forms
unitary representations
operators
Schatten-von Neumann classes
Besov spaces
Hardy
transvectants
Author
Marcus Sundhäll
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Edgar Tchoundja
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Canadian Journal of Mathematics
0008-414X (ISSN) 1496-4279 (eISSN)
Vol. 62 2 439-455Subject Categories (SSIF 2011)
Mathematics
DOI
10.4153/CJM-2010-027-8