V. Vasyunin

activity

20062025

most citedOn weak weighted estimates of martingale transform

18 citations · 69 across the 22 of their papers we have counts for

collaborators

Showing 2010Show all

4 papers · 1 filter

math.PR2010★ 1 cited

Subordination by orthogonal martingales in $L^{p}, 1 < p \leq 2$

Prabhu Janakiraman, Alexander Volberg

We are given two martingales on the filtration of the two dimensional Brownian motion. One is subordinated to another. We want to give an estimate of $L^{p}$ -norm of a subordinated o…

math.PR2010

Some new Bellman functions and subordination by orthogonal martingales in $L^{p}, 1 < p \leq 2$

Prabhu Janakiraman, Vasily Vasyunin, Alexander Volberg

Given two martingales on the filtration generated by two dimensional Brownian motion, we want to estimate the $L^{p}$ norm of the subordinated one if we have some extra orthogonality…

math.FA2010

Invertibility threshold for $H^{\infty}$ trace algebras, and effective matrix inversions

Nikolai Nikolski, Vasily Vasyunin

For a given $δ$ , $0 < δ < 1$ , a Blaschke sequence $σ = {λ_{j}}$ is constructed such that every function $f$ , $f \in H^{\infty}$ , having $δ < δ_{f} = in f_{λ \in σ} ∣ f (λ) ∣ \leq ∥ f ∥_{\infty} \leq 1$ is inve…

math.AP2010

Burkholder's function via Monge--Ampère equation

Vasily Vasyunin, Alexander Volberg

We will show how to get Burkholder's function from \cite{Bu1} by using Monge-Ampére equation. This method is quite different from those in the series of Burkholder's papers \cite{B…

Subordination by orthogonal martingales in Lp,1<p≤2

Some new Bellman functions and subordination by orthogonal martingales in Lp,1<p≤2

Invertibility threshold for H∞ trace algebras, and effective matrix inversions

Burkholder's function via Monge--Ampère equation

Subordination by orthogonal martingales in $L^{p}, 1 < p \leq 2$

Some new Bellman functions and subordination by orthogonal martingales in $L^{p}, 1 < p \leq 2$

Invertibility threshold for $H^{\infty}$ trace algebras, and effective matrix inversions