Evgueni Doubtsov

activity

20132026

most citedModuli of holomorphic functions and logarithmically convex radial weights

20 citations · 30 across the 22 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.CV2015

Approximation by proper holomorphic maps and tropical power series

Evgeny Abakumov, Evgueni Doubtsov

Let $w$ be an unbounded radial weight on the complex plane. We study the following approximation problem: find a proper holomorphic map $f : C \to C^{n}$ such that $|f…

math.CA2015★ 5 cited

Harmonic approximation by finite sums of moduli

Evgueni Doubtsov

Let $h (B_{d})$ denote the space of real-valued harmonic functions on the unit ball $B_{d}$ of $R^{d}$ , $d \geq 2$ . Given a radial weight $w$ on $B_{d}$ , consider the following probl…