Hankel operators in Schatten ideals |
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| Authors: | Liliana Gabriela Gheorghe |
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| Institution: | (1) Universidade Federal de Pernambuco, Centro de Ciências Exatas e da Natureza, Departamento de Matematica, Av. Prof. Luiz Freire s/n, CEP 50 740-540, Recife PE, Brazil, e-mail: liliana@dmat.ufpe.br, BR |
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| Abstract: | We study membership to Schatten ideals S
E
, associated with a monotone Riesz–Fischer space E, for the Hankel operators H
f
defined on the Hardy space H
2(∂D). The conditions are expressed in terms of regularity of its symbol: we prove that H
f
∈S
E
if and only if f∈B
E
, the Besov space associated with a monotone Riesz–Fischer space E(dλ) over the measure space (D,dλ) and the main tool is the interpolation of operators.
Received: December 17, 1999; in final form: September 25, 2000?Published online: July 13, 2001 |
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| Keywords: | Mathematics Subject Classification (2000) 46B70 46E15 46E30 32A25 |
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