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Sublinear operators on Herz–Hardy spaces with variable exponents
Mathematische Nachrichten, 2022In this paper, we establish the mapping properties of sublinear operators on Herz–Hardy spaces with variable exponents. We obtain these mapping properties by extending the extrapolation theory to Herz–Hardy spaces with variable exponents.
K. Ho
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New variable martingale Hardy spaces
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022We investigate various variable martingale Hardy spaces corresponding to variable Lebesgue spaces $\mathcal {L}_{p(\cdot )}$ defined by rearrangement functions.
Y. Jiao, Dan Zeng, Dejian Zhou
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Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces*
Applicable Analysis, 2021Let X be a ball quasi-Banach function space on and the associated Hardy space. In this article, under the assumptions that the Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued inequality on X and is bounded on the associated
Long Huang, D. Chang, Dachun Yang
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Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
Results in Mathematics, 2019Let X be a ball quasi-Banach function space satisfying some minor assumptions. In this article, the authors establish the characterizations of $$H_X(\mathbb {R}^n)$$ H X ( R n ) , the Hardy space associated with X , via the Littlewood–Paley g -functions ...
Fan Wang, Dachun Yang, Sibei Yang
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Hardy’s inequality on Hardy–Morrey spaces
Georgian Mathematical Journal, 2017Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.
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Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces
Forum mathematicum, 2019In our recent work [W. Ding, G. Lu and Y. Zhu, Multi-parameter local Hardy spaces, Nonlinear Anal. 184 2019, 352–380], the multi-parameter local Hardy space h p ( ℝ n 1 × ℝ n 2 ) {h^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} has been introduced ...
Wei Ding, Guozhen Lu, Yue-Ping Zhu
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Journal of Geometric Analysis, 2018
Let $$\vec {a}:=(a_1,\ldots ,a_n)\in [1,\infty )^n$$a→:=(a1,…,an)∈[1,∞)n, $$\vec {p}:=(p_1,\ldots ,p_n)\in (0,\infty )^n$$p→:=(p1,…,pn)∈(0,∞)n and $$H_{\vec {a}}^{\vec {p}}(\mathbb {R}^n)$$Ha→p→(Rn) be the anisotropic mixed-norm Hardy space associated ...
Long Huang +3 more
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Let $$\vec {a}:=(a_1,\ldots ,a_n)\in [1,\infty )^n$$a→:=(a1,…,an)∈[1,∞)n, $$\vec {p}:=(p_1,\ldots ,p_n)\in (0,\infty )^n$$p→:=(p1,…,pn)∈(0,∞)n and $$H_{\vec {a}}^{\vec {p}}(\mathbb {R}^n)$$Ha→p→(Rn) be the anisotropic mixed-norm Hardy space associated ...
Long Huang +3 more
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Martingale Orlicz‐Hardy spaces
Mathematische Nachrichten, 2012AbstractThe purpose of this paper is to introduce five martingale Orlicz‐Hardy spaces and to establish the atomic decomposition theorem. As applications we show the relation among five martingale Orlicz‐Hardy spaces and the duality, namely, the dual of martingale Orlicz‐Hardy spaces are generalized martingale Campanato spaces.
Miyamoto, Takashi +2 more
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Sublinear operators on weighted Hardy spaces with variable exponents
Forum mathematicum, 2019We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square ...
K. Ho
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Anisotropic Local Hardy Spaces
Journal of Fourier Analysis and Applications, 2010Let \(A\) be real \(n\times n\) matrix and \(m_A=\min_{\lambda\in \mathrm{spec}(A)}|\lambda|\). Let us consider \(\varphi\in \mathcal{S}(\mathbb R^n)\) with the property \(\int_{\mathbb R^n}\varphi(x)\,dx\neq 0\) and \(\varphi_k(x)=|\det A|^{-k}\varphi(A^{-k}x)\), \(k\in\mathbb Z\).
Betancor, Jorge J., Damián, Wendolín
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