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Bulletin of the London Mathematical Society Advance Access originally published online on April 12, 2008
Bulletin of the London Mathematical Society 2008 40(2):327-336; doi:10.1112/blms/bdn013
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© 2008 London Mathematical Society

Multipliers of Qs spaces and the corona theorem

Jordi Pau

Departament de Matemàtica Aplicada i Anàlisi
Universitat de Barcelona
08007 Barcelona
Spain

Received 1 May 2007. Revision received 13 October 2007.

For s>0, let Qs be the space of all analytic functions on the unit disc such that |f'(z)|2(1–|z|2)s dA(z) is an s-Carleson measure. Here we prove that the corona theorem holds for the algebra of pointwise multipliers of Qs.

The author is supported by SGR grant 2005SGR 00774 and DGICYT grant MTM2005-08984-C02-02.

2000 Mathematics Subject Classification 30H05, 32A37, 46E15.


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