Results 11 to 20 of about 400,268 (122)
Generalized Hardy–Morrey Spaces [PDF]
This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17–35]. We propose a way to consider the decomposition method of generalized Hardy–Morrey spaces. Generalized Hardy–Morrey spaces emerged from generalized Morrey spaces.
Akbulut, Ali+3 more
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AbstractIn this paper we shall study Hardy spaces of analytic functions in a strip S. Our main result is on one hand an intrinsic characterization of the spaces and on the second that polynomials are dense. We also present an orthogonal (in H2(S)) basis of polynomials.
Sten Kaijser, Andrew Bakan
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Contractive inequalities for Hardy spaces [PDF]
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q\ge p$.
Brevig, Ole Fredrik+3 more
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Maximal regularity and hardy spaces [PDF]
In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain. We show the boundedness of the operator of maximal regularity $f\mapsto Au$ and its adjoint on appropriate Hardy spaces which we define and ...
Auscher, Pascal+2 more
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On contractive projections in Hardy spaces [PDF]
9 pages, to appear in Studia ...
Lancien, Florence+2 more
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Concentration-cancellation and Hardy spaces [PDF]
AbstractLet υ∈ be a sequence of DiPema-Majda approximate solutions to the 2-d incompressible Euler equations. We prove that if the vorticity sequence is weakly compact in the Hardy space H1 (R2) then a subsequence of υ∈ converges strongly in the energy norm to a solution of the Euler equations.
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Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces [PDF]
Let $X$ be a ball quasi-Banach function space satisfying some mild assumptions and $H_X(\mathbb{R}^n)$ the Hardy space associated with $X$. In this article, the authors introduce both the Hardy space $H_X(\mathbb{R}^{n+1}_+)$ of harmonic functions and the Hardy space $\mathbb{H}_X(\mathbb{R}^{n+1}_+)$ of harmonic vectors, associated with $X$, and then ...
arxiv
Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence.
Yoshihiro Sawano+2 more
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Hardy’s inequality on Hardy spaces
We extend the Hardy inequalities to the classical Hardy spaces and the rearrangement-invariant Hardy spaces.
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