L. Kovalev

activity

20062026

most citedDiffeomorphic approximation of Sobolev homeomorphisms

57 citations · 233 across the 42 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.MG2026

Symmetric products and finite subset spaces of absolute Lipschitz retracts

Leonid V. Kovalev

We prove that the $Q$ th symmetric product of an absolute $λ$ -Lipschitz retract, equipped with the bottleneck matching metric, is an absolute $(3 Q - 2) λ$ -Lipschitz retract. This answe…

math.CV2026

Schwarz-contractivity of the Poisson operator

Leonid V. Kovalev

We say that the Poisson operator $P_{r}$ is Schwarz-contractive from a space $X$ to a space $Y$ if $∥ P_{r} ∥_{X \to Y} \leq r$ holds for all $0 < r < 1$ . The classical Schwarz lemma is the c…

math.FA2026

Hardy-type norms of matrices

Leonid V. Kovalev

We show that the function that assigns to each square matrix $A$ the geometric mean of $∣ A x ∣$ over all unit vectors $x$ is a norm. The same holds for $L^{p}$ means with $0 < p < 1$ . Some…