Results 1 to 10 of about 400,268 (122)
On the Duality of Hardy Spaces NearH1
Journal of Functional Analysis, 1996 AbstractWe are concerned with the duality of the Hardy subspaces of function spaces which behave likeL1in the sense that the Riesz projection is unbounded. It is shown that the theorem of Fefferman which describes the dual ofH1as being the space of balayages of Carleson measures extends most naturally to a class of function spaces that was introduced ...
Justin P. Lowe
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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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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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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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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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Product Hardy Operators on Hardy Spaces [PDF]
Tokyo Journal of Mathematics, 2015 We study the product Hausdorff operator $H_{\Phi}$ on the product Hardy spaces, and prove that, for a nonnegative valued function $\Phi$, $H_{\Phi}$ is bounded on the product Hardy space $H^{1}(\mathbb{R}\times \mathbb{R})$ if and only if $\Phi$ is a Lebesgue integrable function on $(0,\infty)\times (0,\infty)$.
FAN, Dashan, ZHAO, Fayou
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On the Generalized Hardy Spaces [PDF]
Abstract and Applied Analysis, 2010 We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.
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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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Contractive multipliers from Hardy space to weighted Hardy space [PDF]
Proceedings of the American Mathematical Society, 2017 It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.
Joseph A. Ball, Vladimir Bolotnikov
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