16 citations · 55 across the 9 of their papers we have counts for
5 papers · 1 filter
On the martingale decompositions of Gundy, Meyer, and Yoeurp in infinite dimensions
Ivan Yaroslavtsev
We show that the canonical decomposition (comprising both the Meyer-Yoeurp and the Yoeurp decompositions) of a general -valued local martingale is possible if and only if ha…
Even Fourier multipliers and martingale transforms in infinite dimensions
Ivan S. Yaroslavtsev
In this paper we show sharp lower bounds for norms of even homogeneous Fourier multipliers in for and for a UMD Banach space in t…
-valued Burkholder-Rosenthal inequalities and sharp estimates for stochastic integrals
Sjoerd Dirksen, Ivan Yaroslavtsev
We prove sharp maximal inequalities for -valued stochastic integrals with respect to any Hilbert space-valued local martingale. Our proof relies on new Burkholder-Rosenthal ty…
Martingale decompositions and weak differential subordination in UMD Banach spaces
Ivan S. Yaroslavtsev
In this paper we consider Meyer-Yoeurp decompositions for UMD Banach space-valued martingales. Namely, we prove that is a UMD Banach space if and only if for any fixed $p\in (1…
Fourier multipliers and weak differential subordination of martingales in UMD Banach spaces
Ivan Yaroslavtsev
In this paper we introduce the notion of weak differential subordination for martingales and show that a Banach space is a UMD Banach space if and only if for all $p\in (1,\inf…