Results 21 to 30 of about 400,268 (122)
Maximal Function and Riesz Transform Characterizations of Hardy Spaces Associated with Homogeneous Higher Order Elliptic Operators and Ball Quasi-Banach Function Spaces [PDF]
arXiv, 2022 Let $L$ be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients on $\mathbb{R}^n$ and $X$ a ball quasi-Banach function space on $\mathbb{R}^n$ satisfying some mild assumptions. Denote by $H_{X,\, L}(\mathbb{R}^n)$ the Hardy space, associated with both $L$ and $X$, which is defined via the Lusin area ...
arxiv
Closure of Hardy spaces in the Bloch space
Journal of Mathematical Analysis and Applications, 2015 A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^p$ of the unit ball of $\Cn$ for ...
Galanopoulos, Petros +2 more
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Conditions for boundedness into Hardy spaces [PDF]
Mathematische Nachrichten, 2019 AbstractWe obtain the boundedness from a product of Lebesgue or Hardy spaces into Hardy spaces under suitable cancellation conditions for a large class of multilinear operators that includes the Coifman–Meyer class, sums of products of linear Calderón–Zygmund operators and combinations of these two types.
Grafakos L. +3 more
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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 H^1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L^1 and some results about interpolation between these spaces and the Lebesgue ...
Bernicot, Frederic, Zhao, Jiman
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Hardy-Littlewood-type theorems for Fourier transforms in $\R^d$ [PDF]
arXiv, 2022 We obtain Fourier inequalities in the weighted $L_p$ spaces for any $1
arxiv
Monsters in Hardy and Bergman Spaces [PDF]
Complex Variables, Theory and Application: An International Journal, 2002 Plan Andaluz de Investigación (Junta de Andalucía)
Bernal González, Luis +1 more
openaire +3 more sources
Hardy's Identities and Inequalities on Cartan-Hadamard Manifolds [PDF]
arXiv, 2021 We study the Hardy identities and inequalities on Cartan-Hadamard manifolds using the notion of a Bessel pair. These Hardy identities offer significantly more information on the existence/nonexistence of the extremal functions of the Hardy inequalities. These Hardy inequalities are in the spirit of Brezis-V\'{a}zquez in the Euclidean spaces.
arxiv
Real-Variable Theory of Local Variable Hardy Spaces [PDF]
arXiv, 2021 In this paper, we give a complete real-variable theory of local variable Hardy spaces. First, we present various real-variable characterizations in terms of several local maximal functions. Next, the new atomic and the finite atomic decomposition for the local variable Hardy spaces are established.
arxiv
Contractive multipliers from Hardy space to weighted Hardy space [PDF]
arXiv, 2012 It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.
arxiv