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1 results

  • On Hankel Forms of Higher Weights: The Case of Hardy Spaces

  • Marcus Sundhäll, Edgar Tchoundja
  • Journal:
    Canadian Journal of Mathematics / Volume 62 / Issue 2 / 01 April 2010
    Published online by Cambridge University Press:
    20 November 2018, pp. 439-455
    Print publication:
    01 April 2010
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  • 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.