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arXiv · 2208.03706

A Carleson type measure and a family of M\"obius invariant function spaces

Guanlong Bao·Fangqin Ye
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Abstract

For $0<s<1$, let $\{z_n\}$ be a sequence in the open unit disk such that $\sum_n (1-|z_n|^2)^s \delta_{z_n}$ is an $s$-Carleson measure. In this paper, we consider the connections between this $s$-Carleson measure and the theory of M\"obius invariant $F(p, p-2, s)$ spaces by the Volterra type operator, the reciprocal of a Blaschke product, and second order complex differential equations having a prescribed zero sequence.

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Guanlong Bao, Fangqin Ye. 2022-08-07. A Carleson type measure and a family of M\"obius invariant function spaces. https://arxiv.org/abs/2208.03706

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