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Generalized Hardy–Morrey Spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2017 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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Journal of Mathematical Analysis and Applications, 2007 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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Mixed Martingale Hardy Spaces [PDF]
The Journal of Geometric Analysis, 2020 AbstractIn this paper, we consider the martingale Hardy spaces defined with the help of the mixed $$L_{\overrightarrow{p}}$$ L p → -norm. Five mixed martingale Hardy spaces will be investigated:
Szarvas, Kristof, Weisz, Ferenc
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Herz-Type Hardy Spaces Associated with Operators
Journal of Function Spaces, 2018 Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
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Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group
Abstract and Applied Analysis, 2013 We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
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Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups
Bulletin of Mathematical Sciences, 2020 In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky +2 more
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Contractive inequalities for Hardy spaces [PDF]
Functiones et Approximatio Commentarii Mathematici, 2018 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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Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
Journal of Function Spaces, 2023 We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
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Concentration-cancellation and Hardy spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1995 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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The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability
AIMS MathematicsIn this paper, we investigated the Hyers–Ulam stability of the coefficient multipliers on the Hardy space $ H^2 $ and the Dirichlet space $ \mathcal{D}^2 $.
Chun Wang
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