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Mixed Martingale Hardy Spaces [PDF]
The Journal of Geometric Analysis, 2020 AbstractIn this paper, we consider the martingale Hardy spaces defined with the help of the mixed $$L_{\overrightarrow{p}}$$ L p → -norm. Five mixed martingale Hardy spaces will be investigated:
Szarvas, Kristof, Weisz, Ferenc
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Martingale Transforms between Martingale Hardy-amalgam Spaces [PDF]
Abstract and Applied Analysis, 2021 We discuss martingale transforms between martingale Hardy-amalgam spaces H p , q
Justice Sam Bansah
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Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence.
Eiichi Nakai +2 more
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Martingale transforms between Orlicz–Hardy spaces of predictable martingales
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Lin, Zhuang, Dan
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Journal of Inequalities and Applications, 2022 We prove that there exists a martingale f ∈ H p $f\in H_{p} $ such that the subsequence { L 2 n f } $\{L_{2^{n}}f \}$ of Nörlund logarithmic means with respect to the Walsh system are not bounded from the martingale Hardy spaces H p $H_{p}$ to the space ...
David Baramidze +3 more
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Journal of Inequalities and Applications, 2023 We investigate the subsequence { t 2 n f } $\{t_{2^{n}}f \}$ of Nörlund means with respect to the Walsh system generated by nonincreasing and convex sequences.
David Baramidze +3 more
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Weak Orlicz–Hardy martingale spaces [PDF]
International Journal of Mathematics, 2015 In this paper, several weak Orlicz–Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. With the help of weak atomic decompositions, a sufficient condition for a sublinear operator defined on the weak Orlicz–Hardy martingale spaces to be bounded is given ...
Jiao, Yong, Wu, Lian, Peng, Lihua
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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An equivalent quasinorm for the Lipschitz space of noncommutative martingales
Open Mathematics, 2020 In this paper, an equivalent quasinorm for the Lipschitz space of noncommutative martingales is presented. As an application, we obtain the duality theorem between the noncommutative martingale Hardy space hpc(ℳ){h}_{p}^{c}( {\mathcal M} ) (resp.
Ma Congbian, Ren Yanbo
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A Remark on Atomic Decompositions of Martingale Hardy’s Spaces [PDF]
The Journal of Geometric Analysis, 2020 AbstractWe prove theorems and exhibit a counterexample concerning an atomic decomposition of martingale $${{\mathbb {H}}^1}$$ H 1 with atoms satisfying simultaneous cancellation condition (3).
Maciej Paluszynski, Jacek Zienkiewicz
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