Results 21 to 30 of about 4,984,277 (353)
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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Column extreme multipliers of the Free Hardy Space [PDF]
Journal of the London Mathematical Society, 2018 The full Fock space over Cd can be identified with the Free Hardy Space, H2(BNd) — the unique non‐commutative reproducing kernel Hilbert space corresponding to a non‐commutative Szegö kernel on the non‐commutative, multi‐variable open unit ball BNd:=⨆n=1∞
M. Jury, R.T.W. Martin
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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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Parameterized Littlewood-Paley operators with variable kernels on Hardy spaces and weak Hardy spaces [PDF]
, 2017 In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, we discuss the boundedness of parameterized Littlewood-Paley operator with variable kernel on these spaces.Comment: 15 pages. arXiv admin note: text overlap with
Borton, Mikayla A. +7 more
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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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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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L p $L^{p}$ Hardy type inequality in the half-space on the H-type group
Journal of Inequalities and Applications, 2016 In the current work we studied Hardy type and L p $L^{p}$ Hardy type inequalities in the half-space on the H-type group, where the Hardy inequality in the upper half-space R + n $\mathbf{R}_{+}^{n}$ was proved by Tidblom in (J. Funct. Anal.
Jianxun He, Mingkai Yin
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Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
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Factorization of some Hardy type spaces of holomorphic functions [PDF]
, 2014 We prove that the pointwise product of two holomorphic functions of the upper half-plane, one in the Hardy space $\mathcal H^1$, the other one in its dual, belongs to a Hardy type space. Conversely, every holomorphic function in this space can be written
Bonami, Aline, Ky, Luong Dang
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μ-Hankel operators on Hilbert spaces [PDF]
Opuscula Mathematica, 2021 A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of ...
Adolf Mirotin, Ekaterina Kuzmenkova
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