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math.PR2020★ 2 cited
Convergence of ergodic-martingale paraproducts
Vjekoslav Kovač, Mario Stipčić
In this note we introduce a sequence of bilinear operators that unify ergodic averages and backward martingales in a nontrivial way. We establish its convergence in a range of $L^p…
math.PR2016★ 3 cited
Bellman functions and estimates for paraproducts
Vjekoslav Kovač, Kristina Ana Škreb
We give an explicit formula for one possible Bellman function associated with the boundedness of dyadic paraproducts regarded as bilinear operators or trilinear forms. Then w…
math.PR2013★ 10 cited
One modification of the martingale transform and its applications to paraproducts and stochastic integrals
Vjekoslav Kovač, Kristina Ana Škreb
In this paper we introduce a variant of Burkholder's martingale transform associated with two martingales with respect to different filtrations. Even though the classical martingal…