Multipliers in holomorphic mean Lipschitz spaces on the unit ball
Summary: For \(1 \leq p \leq \infty\) and \(s > 0\), let \(\Lambda^p_s\) be the holomorphic mean Lipschitz spaces on the unit ball in \(\mathbb C^n\). We shown that if \(s > n/p\), then \(\Lambda^p_s\) is a multiplicative algebra, and if \(s \leq n/p\), then \(\Lambda^p_s\) is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of \(\Lambda^p_{n/p}\).
scientific article; zbMATH DE number 6078826
scientific article