Abstract Let $F \subseteq [0,1]$ be a set that supports probability measure $\mu $ with the property |\widehat{\mu }(t)| \ll (\log |t|)^{-A}$ for some constant A> 0 $. $\mathcal{A}= (q_n)_{n\in{\mathbb{N}}} sequence of natural numbers. If $\mathcal{A}$ is lacunary and $A>2$, we establish quantitative inhomogeneous Khintchine-type theorem in which (1) points interest are restricted...

We give a characterization of lacunary series in the Bloch space of the unit ball in C in terms of Taylor coefficients. We also characterize Bloch functions whose Taylor coefficients are nonnegative. The corresponding problems for BMOA are discussed as well.