16 citations · 55 across the 9 of their papers we have counts for
5 papers · 1 filter
Characterizations of the UMD property via tail estimates for tangent processes
Gergely Bodó, Ivan Yaroslavtsev
We characterize the UMD property of a Banach space by tail inequalities for maximal functions of tangent conditionally symmetric processes. More precisely, we prove that a Banach s…
The UMD property for Musielak--Orlicz spaces
Nick Lindemulder, Mark Veraar, Ivan Yaroslavtsev
In this paper we show that Musielak--Orlicz spaces are UMD spaces under the so-called condition on the generalized Young function and its complemented function. We also prove…
The Hilbert transform and orthogonal martingales in Banach spaces
Adam Osękowski, Ivan Yaroslavtsev
Let be a given Banach space and let , be two orthogonal -valued local martingales such that is weakly differentially subordinate to . The paper contains the pr…
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…
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…