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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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Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces
, 2019The main purpose of this paper is to establish the boundedness of singular integrals with flag kernels on weighted Hardy spaces theory associated with flag structures.
Yongsheng Han +2 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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Fractional integral operators on Orlicz slice Hardy spaces
Fractional Calculus and Applied Analysis, 2022K. Ho
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Canadian Journal of Mathematics, 1967
This paper is concerned with generalizations of the classical Hardy spaces (8, p. 39) and the question of boundary values for functions of these various spaces. The general setting is the “big disk” Δ discussed by Arens and Singer in (1, 2) and by Hoffman in (7). Analytic functions are defined in (1).
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This paper is concerned with generalizations of the classical Hardy spaces (8, p. 39) and the question of boundary values for functions of these various spaces. The general setting is the “big disk” Δ discussed by Arens and Singer in (1, 2) and by Hoffman in (7). Analytic functions are defined in (1).
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International Journal of Theoretical Physics, 2003
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Acta Mathematica Sinica, English Series, 2010
As is known, there are various ways to define Hardy spaces, especially in the multi-dimensional setting. One of such approaches is the maximal function approach. Using it, the authors introduce a family of Hardy spaces based on a functional parameter. Many known Hardy and Hardy-Lorentz type spaces are particular cases.
Almeida, Alexandre, Caetano, António M.
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As is known, there are various ways to define Hardy spaces, especially in the multi-dimensional setting. One of such approaches is the maximal function approach. Using it, the authors introduce a family of Hardy spaces based on a functional parameter. Many known Hardy and Hardy-Lorentz type spaces are particular cases.
Almeida, Alexandre, Caetano, António M.
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