Results 301 to 310 of about 5,107,062 (367)
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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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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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Hardy’s inequality on Hardy–Morrey spaces
Georgian Mathematical Journal, 2017Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.
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A Generalization of the Hardy Spaces
Canadian Journal of Mathematics, 1964The 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, 2001Let \(M_q\) be the Banach space of multipliers in the Hardy space \(H_q ...
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Two characterizations of central BMO space via the commutators of Hardy operators
, 2021This 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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International Journal of Theoretical Physics, 2003
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Introducing the Polylogarithmic Hardy Space
, 2015In 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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Hardy space and Bergman space on the Octonions
Approximation Theory and its Applications, 2000Summary: 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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Invariant Metrics for the Quaternionic Hardy Space
, 2013We 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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, 2011
We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the ...
D. Alpay +3 more
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We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the ...
D. Alpay +3 more
semanticscholar +1 more source