Prabhu Janakiraman

most citedPerturbation of Burkholder's martingale transform and Monge--Ampère equation

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

collaborators

3 papers

math.PR2011★ 2 cited

Perturbation of Burkholder's martingale transform and Monge--Ampère equation

Nicholas Boros, Prabhu Janakiraman, Alexander Volberg

Let ${d_{k}}_{k \geq 0}$ be a complex martingale difference in $L^{p} [0, 1],$ where $1 < p < \infty,$ and $\{\e_k\}_{k \geq 0}$ a sequence in ${\pm 1} .$ We obtain the following generali…

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…

Perturbation of Burkholder's martingale transform and Monge--Ampère equation

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

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

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

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