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Let Hp be the Hardy space on the bidisc and 1 < p < ∞ . For a function φ in L∞ , we study the norm of the Hankel operator Hφ on Hp and the invertibility of the Toeplitz operator Tφ on H p . The latter is strongly related to weighted norm inequalities on the bidisc. Mathematics subject classification (2000): 47B35, 42B20.

Toeplitz Operators And Weighted Norm Inequalities On The Bidisc