Uniform algebras generated by holomorphic and close-to-harmonic functions
Uniform algebras generated by holomorphic and close-to-harmonic functions
The initial motivation for this paper is to discuss a more concrete approach to an approximation theorem of Axler and Shields, which says that the uniform algebra on the closed unit disc $\overline {\mathbb {D}}$ generated by $z$ and $h$, where $h$ is a nowhere-holomorphic harmonic function on $\mathbb {D}$ …