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Martingale Transforms between Martingale Hardy-amalgam Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2021
We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q.
Justice Sam Bansah
doaj   +4 more sources

Non-Commutative Martingale Transforms [PDF]

open access: yesJournal of Functional Analysis, 2002
We prove that non-commutative martingale transforms are of weak type $(1,1)$. More precisely, there is an absolute constant $C$ such that if $\M$ is a semi-finite von Neumann algebra and $(\M_n)_{n=1}^\infty$ is an increasing filtration of von Neumann subalgebras of $\M$ then for any non-commutative martingale $x=(x_n)_{n=1}^\infty$ in $L^1(\M ...
Narcisse Randrianantoanina
exaly   +7 more sources

Martingale transforms with unbounded multipliers [PDF]

open access: yesProceedings of the American Mathematical Society, 1992
The boundedness of martingale transforms with the "multiplier" sequence in various classes is studied.
Chao, J.-A., Long, R.-L.
openaire   +3 more sources

Martingale transforms between Orlicz–Hardy spaces of predictable martingales

open access: yesJournal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Lin, Zhuang, Dan
exaly   +2 more sources

Martingale Transforms and Their Projection Operators on Manifolds [PDF]

open access: yesPotential Analysis, 2012
We prove the boundedness on $L^p ...
Fabrice Baudoin, Rodrigo Bañuelos
exaly   +4 more sources

A Sharp Inequality for Martingale Transforms

open access: yesAnnals of Probability, 1979
If $g$ is the transform of a martingale $f$ under a predictable sequence $v$ uniformly bounded in absolute value by 1, then $$\lambda P(g^\ast \geqslant \lambda) \leqslant 2\|f\|_1, \lambda > 0$$, and this inequality is sharp.
D L Burkholder
exaly   +4 more sources

On martingale transformations of multidimensional Brownian Motion [PDF]

open access: yesStatistics & Probability Letters, 2021
We describe the class of functions $f: R^n\to R^m$ which transform a vector Brownian Motion into a martingale and use this description to give martingale characterization of the general measurable solution of the multidimensional Cauchy functional equation.
Mania, M., Tevzadze, R.
openaire   +2 more sources

Matrix Summability of Walsh–Fourier Series

open access: yesMathematics, 2022
The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
doaj   +1 more source

Paraproducts and Commutators of Martingale Transforms [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
We define paraproducts in a probabilistic setting and study their boundedness properties. As an application of paraproduct techniques, we prove a generalization of the commutator result of Coifman-Rochberg-Weiss [ 6 ].
Bañuelos, Rodrigo, Bennett, Andrew G.
openaire   +1 more source

Vasicek model with mixed-exponential jumps and its applications in finance and insurance

open access: yesAdvances in Difference Equations, 2018
In this paper, the authors study the distribution of the Vasicek model with mixed-exponential jumps and its applications in finance and insurance. With the aid of the piecewise deterministic Markov process theory and the martingale theory, the authors ...
Yongfeng Wu, Xue Liang
doaj   +1 more source

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