A. Logunov

activity

20132026

most citedOn ratios of harmonic functions

15 citations · 47 across the 16 of their papers we have counts for

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math.CA2013

Weak integral conditions for BMO

Alexander A. Logunov, Leonid Slavin, Dmitriy M. Stolyarov +2

We study the question of how much one can weaken the defining condition of BMO. Specifically, we show that if $Q$ is a cube in $R^{n}$ and $h : [0, \infty) \to [0, \infty)$ is suc…

math.CA2013

On the Boundary Behavior of Positive Solutions of Elliptic Differential Equations

A. A. Logunov

Let $u$ be a positive harmonic function in the unit ball $B_{1} \subset R^{n}$ and let $μ$ be the boundary measure of $u$ . Consider a point $x \in \partial B_{1}$ and let $n (x)$ …