16 citations · 55 across the 9 of their papers we have counts for
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math.PR2018
On strongly orthogonal martingales in UMD Banach spaces
Ivan Yaroslavtsev
In the present paper we introduce the notion of strongly orthogonal martingales. Moreover, we show that for any UMD Banach space and for any -valued strongly orthogonal mart…
math.PR2018★ 16 cited
Burkholder-Davis-Gundy inequalities in UMD Banach spaces
Ivan S. Yaroslavtsev
In this paper we prove Burkholder-Davis-Gundy inequalities for a general martingale with values in a UMD Banach space . Assuming that , we show that the following two…
math.PR2018
Pointwise properties of martingales with values in Banach function spaces
Mark Veraar, Ivan Yaroslavtsev
In this paper we consider local martingales with values in a UMD Banach function space. We prove that such martingales have a version which is a martingale field. Moreover, a new B…