Grigory Voinov

collaborators

2 papers

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.MG2026

Optimal-diameter partitions into regions of the prescribed measure

Grigory Voinov

In this paper we find a sufficient condition on an Ahlfors--David regular metric measure space under which it admits a partition into parts of prescribed measures and optimal (up t…

Sharp weighted L1 bounds for Coulomb fields on the sphere

Optimal-diameter partitions into regions of the prescribed measure

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