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Saving the Mahachai Betta: Genetic Erosion and Conservation Priorities Under Urbanization Pressure. [PDF]
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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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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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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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Acta Mathematica Hungarica, 2017
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Hao, Z., Li, L.
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Hao, Z., Li, L.
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Parametrized Area Integrals on Hardy Spaces and Weak Hardy Spaces
Acta Mathematica Sinica, English Series, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Yong +2 more
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Indiana University Mathematics Journal, 2014
We develop the theory of variable exponent Hardy spaces Hp(·). We give equivalent definitions in terms of maximal operators that are analogous to the classical theory. We also show that Hp(·) functions have an atomic decomposition including a “finite” decomposition; this decomposition is more like the decomposition for weighted Hardy spaces due to ...
David Cruz-uribe, Daniel Wang
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We develop the theory of variable exponent Hardy spaces Hp(·). We give equivalent definitions in terms of maximal operators that are analogous to the classical theory. We also show that Hp(·) functions have an atomic decomposition including a “finite” decomposition; this decomposition is more like the decomposition for weighted Hardy spaces due to ...
David Cruz-uribe, Daniel Wang
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Noncommutative Symmetric Hardy Spaces
Integral Equations and Operator Theory, 2014Let \(\mathcal{M}\) be a finite von Neumann algebra with a faithful normal finite trace \(\tau\), let \(\mathcal{A}\) be a subdiagonal subalgebra of \(\mathcal{M}\) and \(E\) a symmetric quasi-Banach space on \([0,1]\). The author introduces noncommutative Hardy spaces \(H_E(\mathcal{A})\) and generalizes to this setting various results obtained ...
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Mathematical Inequalities & Applications, 2022
Summary: In this paper, we study the Hardy spaces on spaces of homogeneous \(X\). Firstly, we give the definitions of the atomic Hardy spaces \(H_{ato}^p\) and the molecular Hardy spaces \(H_{\epsilon,mol}^p ...
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Summary: In this paper, we study the Hardy spaces on spaces of homogeneous \(X\). Firstly, we give the definitions of the atomic Hardy spaces \(H_{ato}^p\) and the molecular Hardy spaces \(H_{\epsilon,mol}^p ...
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