Results 221 to 230 of about 21,475 (263)

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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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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Sampling Eigenvalues in Hardy Spaces

SIAM Journal on Numerical Analysis, 2007
In this work we extend the sampling method to compute eigenvalues of singular non-self-adjoint Sturm-Liouville problems in the presence of a continuous spectrum. We first show that the characteristic function, whose zeros are the eigenvalues, belongs to a Hardy space, and then develop a new sampling formula for its reconstruction.
Amin Boumenir, Vu Kim Tuan
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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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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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FRAMES OF WAVELETS IN HARDY SPACE

Analysis, 1995
Summary: Necessary and sufficient conditions are stated and proved for a system of functions \(\psi_{j,k}(s)= 2^{j/2} \psi(2^j s- k)\), \(j,k\in {\mathbf Z}\), to form a frame of wavelets in the Hardy space \({\mathbf H}^{2+}\). These conditions are expressed in terms of the Fourier transform \(\widehat\psi\) of \(\psi\).
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Noncommutative Symmetric Hardy Spaces

Integral Equations and Operator Theory, 2014
Let \(\mathcal{M}\) 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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Hardy spaces

2016
Emmanuel Fricain, Javad Mashreghi
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Two characterizations of central BMO space via the commutators of Hardy operators

Forum Mathematicum, 2021
Zunwei Fu, Shanzhen Lu, Shaoguang Shi
exaly