Results 121 to 130 of about 3,983,040 (155)

Dual spaces for variable martingale Lorentz–Hardy spaces

Banach Journal of Mathematical Analysis, 2021
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Yong Jiao, Ferenc Weisz, Lian Wu, Dejian Zhou   +3 more
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Interpolation of martingale Orlicz–Hardy spaces

Acta Mathematica Hungarica, 2020
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Long, L., Tian, H., Zhou, D.
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Martingale inequalities on Musielak–Orlicz Hardy spaces

Mathematische Nachrichten, 2023
AbstractGiven a probability space and a Musielak–Orlicz function , we investigate martingale inequalities in the framework of Musielak–Orlicz spaces by constructing atomic decompositions. Especially, the obtained results for Musielak–Orlicz functions with particular structure, including the variable Orlicz functions , , the variable double phase ...
Lechen He, Lihua Peng, Guangheng Xie
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Martingale transforms between Hardy–Orlicz spaces and of martingales

Statistics and Probability Letters, 2011
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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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Martingale transforms and weak Orlicz–Hardy spaces of predictable martingales

Statistics & Probability Letters, 2014
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Yu, Lin, Yin, Huan
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New variable martingale Hardy spaces

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021
We investigate various variable martingale Hardy spaces corresponding to variable Lebesgue spaces$\mathcal {L}_{p(\cdot )}$defined by rearrangement functions. In particular, we show that the dual of martingale variable Hardy space$\mathcal {H}_{p(\cdot )}^{s}$with$0<p_{-}\leq p_{+}\leq 1$can be described as a BMO-type space and establish martingale ...
Jiao, Yong, Zeng, Dan, Zhou, Dejian
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Two-Parameter Martingale Hardy spaces

Lecture Notes in Mathematics, 1994
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Noncommutative Nest Hardy Spaces and Martingales

International Mathematics Research Notices
Abstract Let $(\mathcal{M},\tau )$ be a finite von Neumann algebra equipped with a normalized faithful trace and let $\mathbb{A}$ be a nest of order type $\mathbb{N}$. The nest algebra is defined by $H_{\infty }^{r}(\mathbb{A})=\{x\in \mathcal{M}:ex=exe,e\in \mathbb{A}\}$, and the related noncommutative Hardy space $H_{p}^{r}(\mathbb{A})$
Potapov, Denis, Sukochev, Fedor, Zhou, Dejian   +2 more
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Martingale transforms between Hardy–Lorentz spaces

Statistics & Probability Letters, 2018
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He, Min, Yu, Lin
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