Results 231 to 240 of about 120,151 (274)
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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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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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1992
In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
Sheldon Axler, Paul Bourdon, Wade Ramey
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In Chapter 1 we defined the Poisson integral of a function f ∈ C(S) to be the function P[f] defined on B by $$P\left[ f \right](x) = \int_S {P\left( {x,\zeta } \right)f} \left( \zeta \right)d\sigma \left( \zeta \right)$$ (6.1) .
Sheldon Axler, Paul Bourdon, Wade Ramey
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Analysis Mathematica, 1994
This paper extends a previous one [ibid. 16, No. 3, 227-239 (1990; Zbl 0708.60039)] by the same author. In the setting of a probability space \((\Omega, A, \mathbb{P})\) with an arbitrarily indexed family of sub-\(\sigma\)- fields \(\{F_ t\}_{t \in T}\), the concept of atomic Hardy spaces \(H^ q\), \(q \in (1,\infty]\), in the spirit of \textit{R.
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This paper extends a previous one [ibid. 16, No. 3, 227-239 (1990; Zbl 0708.60039)] by the same author. In the setting of a probability space \((\Omega, A, \mathbb{P})\) with an arbitrarily indexed family of sub-\(\sigma\)- fields \(\{F_ t\}_{t \in T}\), the concept of atomic Hardy spaces \(H^ q\), \(q \in (1,\infty]\), in the spirit of \textit{R.
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