Abstract
We study a special type of invariant subspaces ${\mathcal M}$ on the bidisk which are studied in the previous papers. We determine the rank of cross commutators on $H^2\ominus {\mathcal M}$, and study when ${\mathcal M}$ is generated by ${\mathcal M}\ominus (z{\mathcal M}+w{\mathcal M})$ as an invariant subspace of $H^2$.
Citation
Kou Hei IZUCHI. "Rank-one commutators on invariant subspaces of the Hardy space on the bidisk III." Hokkaido Math. J. 38 (4) 663 - 681, November 2009. https://doi.org/10.14492/hokmj/1258554239
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