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Journal of the London Mathematical Society 1995 52(2):391-401; doi:10.1112/jlms/52.2.391
© 1995 by London Mathematical Society
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© The London Mathematical Society

A–p Interpolation in the Unit Ball

Xavier Massaneda

Departament de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona 08193-Bellaterra (Barcelona), Spain

Received 3 February 1994. Revision received 3 May 1994.

We study interpolating sequences in the unit ball for A–p with p > 0, the Banach space of holomorphic functions f with (1 – |z|2)p |f(z)| bounded. The finite unions of A–p-interpolating sequences are characterized by a Carleson type condition.

Research partially supported by DGICYT grant PB92-0804-C02-02.


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