Abstract
If n is a non-negative integer, then denote by ∂-nH∞ the space of all complex-valued functions f defined on $\mathbb{D}$ such that f, f(1), f(2),..., f(n) belong to H∞, with the norm$\|f\|=\sum_{j=0}^{n}\frac{1}{j!}\|f^{(j)}\|_{\infty}.$We prove bounds on the solution in the corona problem for ∂-nH∞. As corollaries, we obtain estimates in the corona theorem also for some other subalgebras of the Hardy space H∞.
Citation
Amol Sasane. Sergei Treil. "Estimates in corona theorems for some subalgebras of H∞." Ark. Mat. 45 (2) 351 - 380, October 2007. https://doi.org/10.1007/s11512-007-0044-y
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