3 citations · 7 across the 11 of their papers we have counts for
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math.CA2018★ 3 cited
On the existence of mass minimizing rectifiable G chains in finite dimensional normed spaces
Thierry De Pauw, Ioann Vasilyev
We introduce the notion of density contractor of dimension m in a finite dimensional normed space X. If m+1=dim X this includes the area contracting projectors on hyperplanes whose…
math.CA2018★ 2 cited
Littlewood--Paley characterizations of and Triebel--Lizorkin spaces
Anton Tselishchev, Ioann Vasilyev
We prove one generalization of the Littlewood--Paley characterization of the space where the dilations of a Schwartz function are replaced by a family of functions w…
math.CV2018
On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus
Ioann Vasilyev
Local boundary smoothness of an analytic function f on the unit ball of C^n is compared to the smoothness of its modulus. We prove that different conditions imposed on the zeros of…