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arXiv · 2503.22381

Pointwise lower bounds in growth spaces with little o conditions

Zeljko Cuckovic·Jari Taskinen
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Abstract

Pointwise lower bounds on the open unit disc $\bbD$ for the sum of the moduli of two analytic functions $f$ and $g$ (or their derivatives) are known in several cases, like $f,g$ belonging to the Bloch space $\cB$, $BMOA$ or the weighted Hardy space $H_\omega^\infty$. We find complementary results of Ramey-Ullrich and Abakumov-Doubtsov for functions with little o conditions.

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Zeljko Cuckovic, Jari Taskinen. 2025-03-28. Pointwise lower bounds in growth spaces with little o conditions. https://arxiv.org/abs/2503.22381

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