Hankel forms and the Fock space.
Svante Janson, Jaak Peetre, Richard Rochberg (1987)
Revista Matemática Iberoamericana
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Svante Janson, Jaak Peetre, Richard Rochberg (1987)
Revista Matemática Iberoamericana
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Arocena, Rodrigo, Cotlar, Misha (1980)
Portugaliae mathematica
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Peetre, Jaak
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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.
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...
Young Joo Lee (2004)
Czechoslovak Mathematical Journal
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We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.