Results 1 to 10 of about 556 (53)
Comptes rendus. Mathematique, 2021 Let d ∈ {3,4,5, . . .} and a weight w ∈ A∞. We consider the second-order Riesz transform T =∇2 L−1 associated with the Schrödinger operator L = −∆+V , where V ∈ RHσ with σ > 2 . We present three main results.
Trong Nguyen Ngoc +2 more
semanticscholar +1 more source
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
doaj +1 more source
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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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 +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 +3 more
doaj +1 more source
Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means
, 2020 In this paper, we show that the Bochner-Riesz means are bounded on weighted and variable Hardy spaces by using the finite atomic decomposition theories.
J. Tan
semanticscholar +1 more source
Hp-Boundedness of Weyl multipliers
Journal of Inequalities and Applications, 2014 In this paper, we will define Hardy spaces Hp(Cn) associated with twisted convolution operators and give the atomic decomposition of Hp(Cn), where 2n2n ...
Jizheng Huang, Jietong Wang
semanticscholar +2 more sources
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 +2 more
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A lower bound in Nehari's theorem on the polydisc [PDF]
, 2011 By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) with analytic symbol \psi, then there is a function \phi in L ...
H. Helson +7 more
core +3 more sources