Results 11 to 20 of about 4,984,277 (353)
On compositional dynamics on hardy space
Boletim da Sociedade Paranaense de Matemática, 2022 In this work, we examine super-recurrence and super-rigidity of composition operators acting on $H(\mathbb{D})$ the space of holomorphic functions on the unit disk $\mathbb{D}$ and on $H^2(\mathbb{D})$ the Hardy-Hilbert space.
Otmane Benchiheb +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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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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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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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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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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Orthorecursive expansions generated by the Szego kernel [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2023 This article considers systems of subspaces of the Hardy space generated by the Szego kernel. The main result of the work is to establish the convergence of orthorecursive expansions with respect to the considered systems of subspaces.
Terekhin, Pavel A.
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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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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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