Results 151 to 160 of about 151,410 (172)

LOGARITHMIC GROWTH FOR MATRIX MARTINGALE TRANSFORMS

Journal of the London Mathematical Society, 2001
An example is given of an operator weight W that satisfies the dyadic operator Hunt–Muckenhoupt–Wheeden condition [Aopf ]d2 for which there exists a dyadic martingale transform on L2 (W) that is unbounded. The construction relates weighted boundedness to the boundedness of dyadic vector Hankel operators.
Gillespie, T. A., Pott, S., Treil, S., Volberg, A.   +3 more
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Maximal Inequalities of Noncommutative Martingale Transforms

Canadian Journal of Mathematics, 2019
AbstractIn this paper, we investigate noncommutative symmetric and asymmetric maximal inequalities associated with martingale transforms and fractional integrals. Our proofs depend on some recent advances on algebraic atomic decomposition and the noncommutative Gundy decomposition. We also prove several fractional maximal inequalities.
Jiao, Yong, Sukochev, Fedor, Zhou, Dejian   +2 more
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Two-Dimensional Conjugate Martingale Transforms

Acta Mathematica Hungarica, 2000
The author derives several characterizations of the two-dimensional Hardy space \(H_1\) as well as of BMO- and VMO-martingale spaces generated by bounded Vilenkin systems via conjugate martingale transforms.
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Martingale transforms and Hardy spaces

Probability Theory and Related Fields, 1992
Burkholder's martingale transforms are especially useful in studying ``predictable'' martingale Hardy spaces. ``Characterizations'' of such spaces via martingale transforms are provided.
Chao, J.-A., Long, R.-L.
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A Sharp Inequality for Martingale Transforms

2011
If d= (d 1, d 2, …) is a martingale difference sequence and e1e2,… are numbers in {– 1, 1}, then $$P\left( {|\sum \nolimits ^n_{k = 1^{\varepsilon_k}}\,{{d_k}}| \geq \lambda } \right) \leq c||\sum \nolimits ^n_{k = 1}\,{d_k} |{|_1}$$ (1) where c is some absolute constant.
Burgess Davis, Renming Song
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Martingale transforms between and of martingale spaces

Statistics & Probability Letters, 2009
Weiwei Meng, Lin Yu
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Random Martingale Transform Inequalities

1990
Certain 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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Fourier Series and Martingale Transforms

1978
In 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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Multiplier theorems via martingale transforms

Journal of Functional Analysis, 2021
Fabrice Baudoin, Li Chen, Rodrigo Bañuelos   +2 more
exaly  

Martingale Transforms

2011
Burgess Davis, Renming Song
openaire   +1 more source