E. Malinnikova

most citedA discrete harmonic function bounded on a large portion of

Z^{2}

is constant

7 citations · 10 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2017★ 7 cited

A discrete harmonic function bounded on a large portion of $Z^{2}$ is constant

Lev Buhovsky, Alexander Logunov, Eugenia Malinnikova +1

An improvement of the Liouville theorem for discrete harmonic functions on $Z^{2}$ is obtained. More precisely, we prove that there exists a positive constant $ε$ …

math.AP2017★ 3 cited

Quantitative propagation of smallness for solutions of elliptic equations

Alexander Logunov, Eugenia Malinnikova

Let $u$ be a solution to an elliptic equation $div (A \nabla u) = 0$ with Lipschitz coefficients in $R^{n}$ . Assume $∣ u ∣$ is bounded by $1$ in the ball $B = {∣ x ∣ \leq 1}$ .…

math.FA2017

Two types of Rubio de Francia operators on Triebel--Lizorkin and Besov spaces

Eugenia Malinnikova, Nikolay N. Osipov

We discuss generalizations of Rubio de Francia's inequality for Triebel--Lizorkin and Besov spaces, continuing the research from [5]. Two versions of Rubio de Francia's operator ar…

A discrete harmonic function bounded on a large portion of Z2 is constant

Quantitative propagation of smallness for solutions of elliptic equations

Two types of Rubio de Francia operators on Triebel--Lizorkin and Besov spaces

A discrete harmonic function bounded on a large portion of $Z^{2}$ is constant