Results 291 to 300 of about 4,859,609 (359)
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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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Introducing the Polylogarithmic Hardy Space
, 2015In this paper we investigate the reproducing kernel Hilbert space where the polylogarithm appears as the kernel function. This investigation begins with the properties of functions in this space, and here a connection to the classical Hardy space is ...
Joel A. Rosenfeld
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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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Invariant Metrics for the Quaternionic Hardy Space
, 2013We find Riemannian metrics on the unit ball of the quaternions, which are naturally associated with reproducing kernel Hilbert spaces. We study the metric arising from the Hardy space in detail. We show that, in contrast to the one-complex variable case,
N. Arcozzi, G. Sarfatti
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Two characterizations of central BMO space via the commutators of Hardy operators
, 2021This article addresses two characterizations of BMO(ℝn){\mathrm{BMO}(\mathbb{R}^{n})}-type space via the commutators of Hardy operators with homogeneous kernels on Lebesgue spaces: (i) characterization of the central BMO(ℝn){\mathrm{BMO}(\mathbb{R}^{n})
Zunwei Fu, Shan-zhen Lu, S. Shi
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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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, 2011
We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the ...
D. Alpay +3 more
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We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the ...
D. Alpay +3 more
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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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