Abstract
We compute \( Ext^1 _{A\left( {\mathbb{D}^N } \right)} \) groups with certain submodules of L2(\( \mathbb{T} \) N) in either variable. The obstruction to the vanishing of these groups with the Hardy space in the first variable is formulated in terms of a lifting problem for a class of Hankel operators.
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Clark, D.N., Ferguson, S.H. (2000). Submodules of L2(\( \mathbb{T} \) N). In: Bercovici, H., Foias, C.I. (eds) Operator Theory and Interpolation. Operator Theory Advances and Applications, vol 115. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8422-8_4
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DOI: https://doi.org/10.1007/978-3-0348-8422-8_4
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