D. Rutsky

activity

20122026

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math.CV2024

Compact linear combinations of composition operators on Hardy spaces

Evgueni Doubtsov, Dmitry V. Rutsky

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

math.CV2015

Corona problem with data in ideal spaces of sequences

Dmitry V. Rutsky

Let $E$ be a Banach lattice on $Z$ having order continuous norm. We show that for any function $f = {f_{j}}_{j \in Z}$ from the Hardy space $H_{\infty} (E)$ such that…