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Displaying similar documents to “Lifting properties, Nehari theorem and Paley lacunary inequality.”

Kernels of Toeplitz operators on the Bergman space

Young Joo Lee (2023)

Czechoslovak Mathematical Journal

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A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one. We study the corresponding problem for certain Toeplitz operators on the Bergman space.

Two-parametric liftings of Toeplitz forms.

Pedro Alegría Ezquerra (1992)

Extracta Mathematicae

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The parametrization problem of the minimal unitary extensions of an isometric operator allows its application, through the spectral theorem, to the case of the Fourier representations of a bounded Hankel form with respect to the norms (∫ |f|dμ) and (∫ |f|dμ) where μ, μ are positive finite measures in T~[0,2π[ (see [1]). In this work we develop a similar procedure for the two-parametric case, where μ, μ are positive measures defined in T~[0,2π[x[0,2π[. With this purpose, we define the...