Trace class criteria for bilinear Hankel forms of higher weights

Sundhäll, Marcus

doi:10.1090/S0002-9939-06-08583-2

Trace class criteria for bilinear Hankel forms of higher weights
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by Marcus Sundhäll PDF

Proc. Amer. Math. Soc. 135 (2007), 1377-1388 Request permission

Abstract:

In this paper we give a complete characterization of higher weight Hankel forms, on the unit ball of $\mathbb {C}^d$, of Schatten-von Neumann class $\mathcal {S}_p$, $1\leq p\leq \infty$. For this purpose we give an atomic decomposition for certain Besov-type spaces. The main result is then obtained by combining the decomposition and our earlier results.

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