Geodesic
On Hankel Forms of Higher Weights: The Case of Hardy Spaces
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 439-455

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DOI

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 Sundhäll 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.
DOI : 10.4153/CJM-2010-027-8
Mots-clés : 32A25, 32A35, 32A37, 47B35, Hankel forms, Schatten–von Neumann classes, Bergman spaces, Hardy spaces, Besov spaces, transvectants, unitary representations, Möbius group 
Sundhäll, Marcus; Tchoundja, Edgar. On Hankel Forms of Higher Weights: The Case of Hardy Spaces. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 439-455. doi: 10.4153/CJM-2010-027-8
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     title = {On {Hankel} {Forms} of {Higher} {Weights:} {The} {Case} of {Hardy} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {439--455},
     year = {2010},
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     doi = {10.4153/CJM-2010-027-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-027-8/}
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