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2010 International Conference on Computational Intelligence and Software Engineering, 2010
In this paper, we give the equivalent conditions on the boundedness of p- quasi-martingale transforms, the result we obtained extend the corresponding result in some literate.
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In this paper, we give the equivalent conditions on the boundedness of p- quasi-martingale transforms, the result we obtained extend the corresponding result in some literate.
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Martingale transforms between and of martingale spaces
Statistics & Probability Letters, 2009Weiwei Meng, Lin Yu
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Random Martingale Transform Inequalities
1990Certain inequalities play a fundamental role in the theory of martingales. In order to describe these, let us begin by describing the notation that we use. Because we wish to transform martingales in a random way, the setting is a little more complicated than usual.
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Martingale transforms in Riesz spaces
PositivityzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tarik Boukara +3 more
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Fourier Series and Martingale Transforms
1978In this paper a theorem of D.L. Burkholder [2], [3] on martingale transforms is generalized for the case when the index set on the martingale is a directed set. Using a generalization of the notion of stopping time and applying an elementary lemma, the proof of the generalized theorem is similar to the original one.
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Sharp estimates for martingale transforms with unbounded transforming sequences
Electronic Journal of Probability, 2023Adam Osȩkowski
exaly
On the convergence of martingale transforms
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971openaire +2 more sources
Perturbation of Burkholder’s martingale transform and Monge–Ampère equation
Advances in Mathematics, 2012Alexander Volberg
exaly