Results 31 to 40 of about 1,234,931 (202)

Real Hardy Spaces and local Hardy Spaces

, 2017
In this paper, we want to see the relationship between the local Hardy spaces (𝑯𝑷 ) and real Hardy spaces (𝒉 𝑷 )and the boundary behavior of functions in the Hardy spaces on the Disc, unit circle and on the Half-plane. We are concerned with Hardy spaces of vector-valued functions on the disk and on the unit circle. This paper will also gives a concrete
Adewinbi, Hezekiah Seun, Peter, Olumuyiwa James   +1 more
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Hardy spaces of generalized analytic functions and composition operators

Concrete Operators, 2018
We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more
Pozzi Elodie
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Generalized Hilbert operator on analytic function spaces [PDF]

Arab Journal of Mathematical Sciences
PurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
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Sharp estimates for the p-adic Hardy type operators on higher-dimensional product spaces

Journal of Inequalities and Applications, 2017
In this paper, we introduce the p-adic Hardy type operator and obtain its sharp bound on the p-adic Lebesgue product spaces. Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights.
Ronghui Liu, Jiang Zhou
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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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The Boundedness on Mixed Hardy Spaces

Journal of Function Spaces, 2020
The boundedness of operators on Hardy spaces is usually given by atomic decomposition. In this paper, we obtain the boundedness of singular integral operators in mixed Journé class on mixed Hardy spaces by a direct method.
Wei Ding, Meidi Qin, Yueping Zhu
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$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework [PDF]

Sahand Communications in Mathematical Analysis, 2019
In the present work the space  $L_{p;r} $ which is continuously embedded into $L_{p} $  is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied.
Ali Huseynli, Asmar Mirzabalayeva
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Hardy’s inequality on Hardy spaces

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2016
We extend the Hardy inequalities to the classical Hardy spaces and the rearrangement-invariant Hardy spaces.
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Boundedness of p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey and BMO Spaces

Journal of Function Spaces and Applications, 2013
We obtain the sharp bounds of p-adic Hardy operators on p-adic central Morrey spaces and p-adic λ-central BMO spaces, respectively. We also establish the λ-central BMO estimates for commutators of p-adic Hardy operators on p-adic central Morrey spaces.
Qing Yan Wu, Ling Mi, Zun Wei Fu
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Sharp Constants for q-Analogue of Hausdorff Operators on Central q-Morrey Spaces

Journal of Function Spaces, 2022
In this paper, we establish the sharp constant for q-analogus of Hausdorff operators on central q-Morrey spaces. As applications, the sharp constants for the q-analogus of Hardy operator and its dual operator, the q-analogue of Hardy-Littlewood-Pólya ...
Mingquan Wei, Qianjun He, Xiang Li, Zequn Wang   +3 more
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