Displaying similar documents to “Closed ideals in certain Beurling algebras, and synthesis of hyperdistributions”

A counterexample in operator theory

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.

On Bloch functions and gap series.

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...