Results 1 to 10 of about 17 (17)

On the equivalence between weak BMO and the space of derivatives of the Zygmund class

Demonstratio Mathematica, 2021
In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions
Kwessi Eddy
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On the Cyclicity of Dilated Systems in Lattices: Multiplicative Sequences, Polynomials, Dirichlet-type Spaces and Algebras

Moroccan Journal of Pure and Applied Analysis, 2023
The aim of these notes is to discuss the completeness of the dilated systems in a most general framework of an arbitrary sequence lattice X, including weighted ℓp spaces.
Nikolski Nikolai
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Variable Anisotropic Hardy Spaces with Variable Exponents

Analysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

Open Mathematics, 2020
In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
Ajaib Amna, Hussain Amjad
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The special atom space and Haar wavelets in higher dimensions

Demonstratio Mathematica, 2020
In this note, we will revisit the special atom space introduced in the early 1980s by Geraldo De Souza and Richard O’Neil. In their introductory work and in later additions, the space was mostly studied on the real line.
Kwessi Eddy, de Souza Geraldo, Djitte Ngalla, Ndiaye Mariama   +3 more
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Construction of Frames on the Heisenberg Groups

Analysis and Geometry in Metric Spaces, 2020
In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen, Han Yongsheng, Wu Xinfeng   +2 more
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The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

Open Mathematics, 2020
In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions.
Guo Qingdong, Wang Wenhua
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Real-Variable Characterizations of Hardy–Lorentz Spaces on Spaces of Homogeneous Type with Applications to Real Interpolation and Boundedness of Calderón–Zygmund Operators

Analysis and Geometry in Metric Spaces, 2020
Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
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Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

Advances in Nonlinear Analysis, 2019
Let
Huang Jizheng, Li Pengtao, Liu Yu
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Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
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