Pointwise lower bounds in growth spaces with little $o$ conditions
DOI:
https://doi.org/10.7146/math.scand.a-158077Abstract
Pointwise lower bounds on the open unit disc $\mathbb{D} $ 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 $\mathcal{B} $, BMOA or the weighted Hardy space $H_\omega ^\infty $. We modify the proofs of two important cases, proved by Ramey-Ullrich and Abakumov-Doubtsov, for functions with little $o$ growth conditions.
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