Results 321 to 330 of about 5,011,031 (372)

Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm

Journal d'Analyse Mathematique, 2016
For a singular probability measure μ on the circle, we show the existence of positive matrices on the unit disc which admit a boundary representation on the unit circle with respect to μ.
John E. Herr, P. Jorgensen, E. Weber
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Composition Operators on the Discrete Analogue of Generalized Hardy Space on Homogenous Trees

, 2016
In this paper, we study the basic properties such as boundedness and compactness of composition operators on discrete analogue of generalized Hardy space defined on a homogeneous rooted tree.
P. Muthukumar, S. Ponnusamy
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Two characterizations of central BMO space via the commutators of Hardy operators

, 2021
This 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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Approximation in Hardy spaces

Annali di Matematica Pura ed Applicata, 1984
The author studies the extension of the classical Jackson-Bernstein theorems to Hardy spaces \(H^ p({\mathbb{R}}^ N ...
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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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Introducing the Polylogarithmic Hardy Space

, 2015
In 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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Approximation in Hardy Spaces [PDF]

, 1992
Since the transfer function (or matrix) of a stable linear system is analytic in |z| ≥ 1, the transformation z → z −1 guarantees its analyticity in the unit disk |z| ≤ 1. In this chapter we will study approximation by polynomials and “stable” rational functions in |z| ≤ 1, using the Hardy spaces H 2 and norms. Here, due to the reciprocal transformation,
Guanrong Chen, Charles K. Chui
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Atomic Hardy spaces

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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Invariant Metrics for the Quaternionic Hardy Space

, 2013
We 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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Introduction to Hardy Spaces

International Journal of Theoretical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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