Results 131 to 140 of about 3,983,040 (155)

Hardy spaces of predictable martingales

Analysis Mathematica, 1994
Some results in terms of norm inequalities are given for the martingale transform operator on martingale Hardy spaces in case the maximal function of the predictable sequences is in \(L^ p\).
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Dual spaces for martingale Musielak–Orlicz Lorentz Hardy spaces

Bulletin des Sciences Mathématiques, 2022
This paper deals with various subspaces of martingales on a stochastic probability space with discrete time. A Musielak-Orlicz space on the underlying probability space generalizes the \(L^p\)-space by a more informative locally depending function instead of a global parameter \(p \ge 1\), and a Musielak-Orlicz Lorentz space controls further by a ...
Ferenc Weisz, Guangheng Xie, Dachun Yang
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Orlicz-Lorentz Hardy martingale spaces

Journal of Mathematical Analysis and Applications, 2020
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Hao, Zhiwei, Li, Libo
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Operator-valued martingale transform on mixed martingale Hardy spaces

Communications on Analysis and Computation, 2023
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Zhang, Chuanzhou, Wang, Yafei, Zhang, Xueying   +2 more
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Martingale Musielak-Orlicz Hardy spaces

Science China Mathematics, 2019
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Xie, Guangheng, Jiao, Yong, Yang, Dachun
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Variable martingale Hardy-Morrey spaces

Journal of Mathematical Analysis and Applications, 2020
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Jiao, Yong, Zhao, Tiantian, Zhou, Dejian
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The Dual of a Special Martingale Hardy Space

2010 First ACIS International Symposium on Cryptography, and Network Security, Data Mining and Knowledge Discovery, E-Commerce and Its Applications, and Embedded Systems, 2010
In this paper, the dual of a novel martingale Hardy space generated by-mean-square operator is addressed. Fefferman's inequality is proved to hold for and. Meanwhile, the dual space of is characterized and proved in the case. The result shows that for $/math$, the dual space of $/math$ can be characterized by Garsia space aKp.
Hongping Guo, Lin Yu
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Weighted Hardy–Orlicz-amalgam spaces of martingales

Statistics & Probability Letters
Motivated by the recent development on the Wiener amalgam spaces, in the paper under review, the authors introduce martingale weighted Hardy-Orlicz-amalgam spaces and then establish the atomic decomposition. Finally, the authors find the dual spaces of these martingale weighted Hardy-Orlicz-amalgam spaces.
Yu, Lin, Mi, Xue
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Fractional Integral on Martingale Hardy Spaces With Variable Exponents

Fractional Calculus and Applied Analysis, 2015
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Hao, Zhiwei, Jiao, Yong
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Real interpolation between martingale hardy and BMO spaces

Acta Mathematica Sinica, English Series, 2012
The usual interpolation space \((A_0,A_1)_{\theta,q}\) is defined as the space of all functions \(f\) in \(A_0+A_1\) for which \[ { \| f \|}_{{(A_0,A_1)}_{\theta ,q}}:= \left( \int_0^\infty \left(t^{- \theta}K(t,f,A_0,A_1) \right) ^q \, {{dt} \over {t}} \right)^{1/q} < \infty \] where \(K(t,f,A_0,A_1) := \inf_{f=f_0+f_1} \left\{ \|f_0\|_{A_0} + t\|f_1\|
Ren, Yan Bo, Guo, Tie Xin
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