I. Vasilyev

activity

20182026

most citedOn the existence of mass minimizing rectifiable G chains in finite dimensional normed spaces

3 citations · 7 across the 11 of their papers we have counts for

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math.CA2026

Sharp weighted $L^{1}$ bounds for Coulomb fields on the sphere

Evgueni Doubtsov, Ioann Vasilyev, Grigory Voinov

Let $d \geq 2$ , let $α_{1}, \dots, α_{n} > 0$ , and put $A = \sum_{k} α_{k}$ . We determine, up to constants depending only on $d$ , the smallest possible $L^{1}$ norm in the unit ball $\mathbb{B…

math.CA2026

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 $L^{4}$ norm of a trigonometric polynomial whose spectrum is a nontrivial strictly monotone polynomial with integer coeffici…

math.CA2026

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…

Sharp weighted L1 bounds for Coulomb fields on the sphere

Norm bounds on Fourier series with polynomial spectra and constrained coefficients

Weighted Chui's conjecture

Sharp weighted $L^{1}$ bounds for Coulomb fields on the sphere