57 citations · 233 across the 42 of their papers we have counts for
46 papers
Symmetric products and finite subset spaces of absolute Lipschitz retracts
Leonid V. Kovalev
We prove that the th symmetric product of an absolute -Lipschitz retract, equipped with the bottleneck matching metric, is an absolute -Lipschitz retract. This answe…
Schwarz-contractivity of the Poisson operator
Leonid V. Kovalev
We say that the Poisson operator is Schwarz-contractive from a space to a space if holds for all . The classical Schwarz lemma is the c…
Hardy-type norms of matrices
Leonid V. Kovalev
We show that the function that assigns to each square matrix the geometric mean of over all unit vectors is a norm. The same holds for means with . Some…
Sharp bounds for some segments of bounded power series
Leonid V. Kovalev
We obtain sharp upper bounds for three-term segments of a bounded power series. Along the way we show that the Taylor polynomials of a certain algebraic function do not vanish in t…
A sharp bound on the number of self-intersections of a trigonometric curve
Sergei Kalmykov, Leonid V. Kovalev
We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is nor…
Anti-absorbing ternary operations on metric spaces
Leonid V. Kovalev
The existence of a median-type ternary operation on a metric space is known to have a number of implications for the geometry of the space. For such operations, if two of the three…