Schatten-von Neumann properties of bilinear Hankel forms of higher weights

Authors

  • Marcus Sundhäll

DOI:

https://doi.org/10.7146/math.scand.a-14996

Abstract

Hankel forms of higher weights, on weighted Bergman spaces in the unit ball of $\mathsf{C}^d$, were introduced by Peetre. Each Hankel form corresponds to a vector-valued holomorphic function, called the symbol of the form. In this paper we characterize bounded, compact and Schatten-von Neumann $\mathcal{S}_p$ class ($2\leq p<\infty$) Hankel forms in terms of the membership of the symbols in certain Besov spaces.

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Published

2006-06-01

How to Cite

Sundhäll, M. (2006). Schatten-von Neumann properties of bilinear Hankel forms of higher weights. MATHEMATICA SCANDINAVICA, 98(2), 283–319. https://doi.org/10.7146/math.scand.a-14996

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Articles