Compact linear combinations of composition operators on Hardy spaces

Evgueni Doubtsov, Dmitry V. Rutsky

Let $\ddot{I}{†}_j$, $j=1,2,\dots ,N$, be holomorphic self-maps of the unit disk $\mathbb{D}$ of $\mathbb{C}$. We prove that the compactness of a linear combination of the composition oper…