Norms of Hankel operators on a bidisc

Nakazi, Takahiko

doi:10.1090/S0002-9939-1990-1000162-5

Norms of Hankel operators on a bidisc
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by Takahiko Nakazi PDF

Proc. Amer. Math. Soc. 108 (1990), 715-719 Request permission

Erratum: Proc. Amer. Math. Soc. 115 (1992), 873.

Abstract:

In the Hardy space on the bidisc ${T^2}$, if $\phi$ is a bounded function in the Lebesgue space and if its Fourier series vanishes on half of ${{\mathbf {Z}}^2}$, then the norm of the Hankel operator ${H_\phi }$ is equal to the quotient norm of $\phi$ by the Hardy space ${H^\infty }({T^2})$.

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