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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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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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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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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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Quaternionic Hardy spaces [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2018 31 pages, some proofs shortened, some references ...
Chiara, de Fabritiis +2 more
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Hardy operators and the commutators on Hardy spaces [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with $BMO$ B M O and $CMO(\mathbb{R}^{+})$ C M O ( R + ) functions on Hardy spaces.
Zhuang Niu, Shasha Guo, Wenming Li
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Volterra integration operators from Hardy-type tent spaces to Hardy spaces
Journal of Inequalities and Applications, 2022 In this paper, we completely characterize the boundedness and compactness of the Volterra integration operators J g $J_{g}$ acting from the Hardy-type tent spaces HT q , α p ( B n ) to the Hardy spaces H t ( B n ) in the unit ball of C n for all 0 < p ...
Rong Hu, Chuan Qin, Lv Zhou
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Journal of Fourier Analysis and Applications, 2014 We study the boundary behavior of discrete monogenic functions, i.e. null-solutions of a discrete Dirac operator, in the upper and lower half space. Calculating the Fourier symbol of the boundary operator we construct the corresponding discrete Hilbert transforms, the projection operators arising from them, and discuss the notion of discrete Hardy ...
Frank Sommen +3 more
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Hilbert points in Hardy spaces
St. Petersburg Mathematical Journal, 2023 A Hilbert point in H p ( T d ) H^p(\mathbb {T}^d) , for d ≥ 1 d\geq 1 and 1 ≤ p ≤ ∞ 1\leq p \leq \infty , is a nontrivial function φ
Brevig, Ole Fredrik +2 more
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