3 citations · 7 across the 11 of their papers we have counts for
13 papers
Sharp weighted bounds for Coulomb fields on the sphere
Evgueni Doubtsov, Ioann Vasilyev, Grigory Voinov
Let , let , and put . We determine, up to constants depending only on , the smallest possible norm in the unit ball $\mathbb{B…
Norm bounds on Fourier series with polynomial spectra and constrained coefficients
Ioann Vasilyev
The goal of this paper is to prove an upper bound for the norm of a trigonometric polynomial whose spectrum is a nontrivial strictly monotone polynomial with integer coeffici…
Weighted Chui's conjecture
Evgueni Doubtsov, Anton Tselishchev, Ioann Vasilyev
The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the Chui conjecture is valid in the case where the gradient of Coulomb poten…
The Beurling and Malliavin Theorem in Several Dimensions
Ioann Vasilyev
The present paper is devoted to a new multidimensional generalization of the Beurling and Malliavin Theorem, which is a classical result in the Uncertainty Principle in Fourier Ana…
Density-dependent incompressible Navier--Stokes equations in critical tent spaces
Raphaël Danchin, Ioann Vasilyev
In this article, we prove the existence of global solutions to the inhomogeneous incompressible Navier--Stokes equations, whenever the initial velocity belongs to a certain subspac…
On Busemann--Hausdorff densities of dimension two and of codimension two, with an application to Plateau Problem
Ioann Vasilyev
The purpose of this paper is twofold. First, we describe one (presumably) new case, in which Busemann--Hausdorff densities are convex. We apply the corresponding result to prove th…
A generalization of the Beurling--Malliavin Majorant theorem
Ioann Vasilyev
In this article we prove a generalization of the Beurling--Malliavin Majorant Theorem. In more detail, we establish a new sufficient condition for a function to be a Beurling--Mall…
On the use of tent spaces for solving PDEs: A proof of the Koch-Tataru theorem
Pascal Auscher, Ioann Vasilyev
In these notes we will present (a part of) the parabolic tent spaces theory and then apply it in solving some PDE's originated from the fluid mechanics. In more details, to our mos…
Variation on a theme by Kiselev and Nazarov: H{ö}lder estimates for non-local transport-diffusion, along a non-divergence-free BMO field
Ioann Vasilyev, François Vigneron
We prove uniform Hölder regularity estimates for a transport-diffusion equation with a fractional diffusion operator,and a general advection field in BMO, as long as the order of t…
On the multidimensional Nazarov lemma
Ioann Vasilyev
In this article we prove a multidimensional version of the Nazarov lemma. The proof is based on an appropriate generalisation of the regularised system of intervals introduced by H…
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…
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…
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…