Simon’s OPUC Hausdorff dimension conjecture
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DOI: 10.1007/s00208-021-02283-7
Abstract: We show that the Szegő matrices, associated with Verblunsky coefficients $\{\alpha_n\}_{n\in\mathbb{Z}_+}$ obeying $\sum_{n = 0}^\infty n^\gamma |\alpha_n|^2 < \infty$ for some $\gamma \in (0,1)$, are bounded for values $z \in \partial \mathbb{D}$ outside a set… read more here.
Keywords: dimension; hausdorff dimension; dimension conjecture; opuc hausdorff ... See more keywords