Displaying similar documents to “Partial differential operators of infinite order with constant coefficients on the space of analytic functions on the polydisc”

Atomic decomposition of a weighted inductive limit.

Jari Taskinen (2003)

RACSAM

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Estudiamos algunas cuestiones estructurales acerca del espacio localmente convexo H , que está formado por funciones analíticas en el disco unidad abierto. Construimos una descomposición atómica de este espacio, usando un retículo de puntos del disco unidad que es más denso que el usual. También demostramos que H no es nuclear.

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...