Abstract
If n is a non-negative integer, then denote by ∂-n H ∞ 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
We prove bounds on the solution in the corona problem for ∂-n H ∞. As corollaries, we obtain estimates in the corona theorem also for some other subalgebras of the Hardy space H ∞.
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Sasane, A., Treil, S. Estimates in corona theorems for some subalgebras of H ∞ . Ark Mat 45, 351–380 (2007). https://doi.org/10.1007/s11512-007-0044-y
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DOI: https://doi.org/10.1007/s11512-007-0044-y