
In the Hardy space on the bidisc T 2 {T^2} , if ϕ \phi is a bounded function in the Lebesgue space and if its Fourier series vanishes on half of Z 2 {{\mathbf {Z}}^2} , then the norm of the Hankel operator H ϕ {H_\phi } is equal to the quotient norm of ϕ \phi by the Hardy space H ∞ ( T 2 ) {H^\infty }({T^2}) .
Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Hankel operator, multiplication operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Haar measure of the torus, Norms (inequalities, more than one norm, etc.) of linear operators, Hardy space, \(H^p\)-spaces
Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Hankel operator, multiplication operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Haar measure of the torus, Norms (inequalities, more than one norm, etc.) of linear operators, Hardy space, \(H^p\)-spaces
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