A constructive proof of the Beurling-Rudin theorem
Raymond Mortini (1998)
Studia Mathematica
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A constructive proof of the Beurling-Rudin theorem on the characterization of the closed ideals in the disk algebra A(𝔻) is given.
Raymond Mortini (1998)
Studia Mathematica
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A constructive proof of the Beurling-Rudin theorem on the characterization of the closed ideals in the disk algebra A(𝔻) is given.
Antonio Córdoba (1993)
Publicacions Matemàtiques
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The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L[0,1] such that |Tf(x)| ≤ ∫ |f(y)| dy for a.e. x ∈ [0.1], and, nevertheless, ||T|| = ∞ for every p < 2. Here || || denotes the norm associated to the Schatten-Von Neumann classes.
W. Narkiewicz (1980)
Acta Arithmetica
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Francesco Amoroso (1993)
Annales de l'institut Fourier
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Siegfried Momm (1990)
Studia Mathematica
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Jürgen Hinz (1988)
Acta Arithmetica
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Feliks Przytycki (1989)
Studia Mathematica
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M. Nawrocki (1989)
Studia Mathematica
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Daniel Girela (1991)
Publicacions Matemàtiques
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Kennedy obtained sharp estimates of the growth of the Nevanlinna characteristic of the derivative of a function f analytic and with bounded characteristic in the unit disc. Actually, Kennedy's results are sharp even for VMOA functions. It is well known that any BMOA function is a Bloch function and any VMOA function belongs to the little Bloch space. In this paper we study the possibility of extending Kennedy's results to certain classes of Bloch functions. Also, we prove some more general...