Journal article
BMO estimates for the H∞(Bn) Corona problem
Abstract
We study the H∞(Bn) Corona problem ∑j=1Nfjgj=h and show it is always possible to find solutions f that belong to BMOA(Bn) for any n>1, including infinitely many generators N. This theorem improves upon both a 2000 result of Andersson and Carlsson and the classical 1977 result of Varopoulos. The former result obtains solutions for strictly pseudoconvex domains in the larger space H∞⋅BMOA with N=∞, while the latter result obtains BMOA(Bn) …
Authors
Costea Ş; Sawyer ET; Wick BD
Journal
Journal of Functional Analysis, Vol. 258, No. 11, pp. 3818–3840
Publisher
Elsevier
Publication Date
6 2010
DOI
10.1016/j.jfa.2009.12.015
ISSN
0022-1236