Results 251 to 260 of about 1,275,122 (296)

New Abstract Hardy Spaces

Journal of Functional Analysis, 2008
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H1. We construct spaces through an atomic (or molecular) decomposition.
Frédéric Bernicot, Jiman Zhao
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A Generalization of the Hardy Spaces

Canadian Journal of Mathematics, 1964
The Hardy spaces for right half-planes, , σ real, 1 ≤ p ≤ ∞, are defined to consist of all those functions f(s), holomorphic for Re s > σ, for which μp(f, x) exists and is bounded for x > σ, whereThese spaces have been studied extensively (see, for example, 3, Chapter 8, and 2, §19.1).
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On Multipliers in Hardy Spaces

Ukrainian Mathematical Journal, 2001
Let \(M_q\) be the Banach space of multipliers in the Hardy space \(H_q ...
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Introduction to Hardy Spaces

International Journal of Theoretical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hardy space and Bergman space on the Octonions

Approximation Theory and its Applications, 2000
Summary: Square-integrable octonion-valued function spaces on \(\mathbb{R}^3\) and \(\mathbb{R}^7\) are decomposed into the direct sum of octonion Hardy and conjugate Hardy spaces, and square-integrable octonion function spaces on the upper half spaces \(\mathbb{R}^4_+\) and \(\mathbb{R}^8_+\) are decomposed into infinity direct sum of subspaces in ...
Peng, Lizhong, Zhao, Jiman
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Martingale Orlicz‐Hardy spaces

Mathematische Nachrichten, 2012
AbstractThe 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, Nakai, Eiichi, Sadasue, Gaku   +2 more
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Löwner Chains and Hardy Spaces

Bulletin of the London Mathematical Society, 1991
Let a family of univalent functions \(f(z,t):\mathbb{D}\to\mathbb{C}\), \(t\geq 0\), be a Löwner chain satisfying \(\dot f(z,t)=zf'(z,t)p(z,t)\) for \(z\) in the unit disc \(\mathbb{D}\), a.e. \(t\geq 0\), where \(p(z,t)\) is analytic for \(z\in\mathbb{D}\) and measurable for \(t\geq 0\) with \({\mathfrak R}[p(z,t)]\geq 0\). The symbols \(\dot f(z,t)\)
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A Remark on Bases in Hardy Spaces

Canadian Mathematical Bulletin, 1984
AbstractThe Franklin spline system in [0,1] has been generalized by Strömberg to a system in ℝn which is an unconditional basis in Hp(ℝn) for p > n/(n + m +1). Here the natural number m is the order of the system. For some of these values of p, it was known that the Hp quasi-norm is equivalent to a certain expression containing the coefficients of ...
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The Hardy Spaces

1998
In this chapter we study various properties of the spacesH 1 H 2 andH ∞in preparation for our study of Toeplitz operators in the following chapter. Due to the availability of several excellent accounts of this subject (see Notes), we do not attempt a comprehensive treatment and proceed in the main using the techniques which we have already introduced.
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Hardy Spaces and Beurling Algebras

Journal of the London Mathematical Society, 1989
The author introduces the spaces \(A^ p\) and \(B^ p\), which have previously been considered by Chen and Lau on the line, on \({\mathbb{R}}^ n\). Let \(B(x,R)=\{y\in {\mathbb{R}}^ n| | x-y|
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