New applications of Schrödinger type inequalities in the Schrödingerean Hardy space [PDF]
Journal of Inequalities and Applications, 2017 As new applications of Schrödinger type inequalities obtained by Jiang (J. Inequal. Appl. 2016: Article ID 247, 2016) in the Schrödingerean Hardy space, we not only obtain the representation of Schrödingerean harmonic functions but also give a sufficient
Yong Lu +5 more
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Generalization of the Hardy-Littlewood theorem on Fourier series [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In the theory of one-dimensional trigonometric series, the Hardy-Littlewood theorem on Fourier series with monotone Fourier coefficients is of great importance.
S. Bitimkhan
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AIMS Mathematics, 2021 The boundedness of singular and fractional integral operator on Lebesgue and Hardy spaces have been well studied. The theory of Herz space and Herz type Hardy space, as a local version of Lebesgue and Hardy space, have been developed. The main purpose of
Dazhao Chen
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Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
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Harmonic Functions, Conjugate Harmonic Functions and the Hardy Space $$H^1$$H1 in the Rational Dunkl Setting [PDF]
Journal of Fourier Analysis and Applications, 2018 In this work we extend the theory of the classical Hardy space $$H^1$$H1 to the rational Dunkl setting. Specifically, let $$\Delta $$Δ be the Dunkl Laplacian on a Euclidean space $$\mathbb {R}^N$$RN. On the half-space $$\mathbb {R}_+\times \mathbb {R}^N$$
Jean-Philippe Anker +2 more
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Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints [PDF]
Archive for Rational Mechanics and Analysis, 2019 We present a systematic treatment of the theory of Compensated Compactness under Murat’s constant rank assumption. We give a short proof of a sharp weak lower semicontinuity result for signed integrands, extending aspects of the results of Fonseca–Müller.
André Guerra, Bogdan Raiță
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The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk [PDF]
Journal of the London Mathematical Society, 2019 The classical completeness problem raised by Beurling and independently by Wintner asks for which ψ∈L2(0,1) , the dilation system {ψ(kx):k=1,2,…} is complete in L2(0,1) , where ψ is identified with its extension to an odd 2‐periodic function on R .
H. Dan, K. Guo
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Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting [PDF]
Studia Mathematica, 2018 Let $\Delta$ be the Dunkl Laplacian on $\mathbb R^N$ associated with a normalized root system $R$ and a multiplicity function $k(\alpha)\geq 0$. We say that a function $f$ belongs to the Hardy space $H^1_{\Delta}$ if the nontangential maximal function ...
Jacek Dziuba'nski, Agnieszka Hejna
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Composition–differentiation operators on the Hardy space
Proceedings of the American Mathematical Society, 2020 Let φ \varphi be a nonconstant analytic self-map of the open unit disk in C \mathbb {C} , with ‖ φ ‖ ∞ > 1 ...
M. Fatehi, Christopher N. B. Hammond
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Weak Factorizations of the Hardy Space H 1(ℝ n ) in Terms of Multilinear Riesz Transforms [PDF]
Canadian mathematical bulletin, 2016 This paper provides a constructive proof of the weak factorization of the classical Hardy space ${{H}^{1}}({{\mathbb{R}}^{n}})$ in terms of multilinear Riesz transforms.
Ji Li, B. Wick
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