Dao Van Duong

Dao Van Duong
Mientrung University of Civil Engineering, Phu Yen, Vietnam · Mathematics

PhD

About

37
Publications
2,883
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171
Citations
Introduction
Carleson operator

Publications

Publications (37)
Article
The aim of this paper is to discuss the boundedness of multilinear Hausdorff type operators on two-weighted Morrey spaces and Morrey–Herz spaces on the p-adic fields. In particular, we give new necessary and sufficient conditions of sup-inf type for the boundedness of p-adic multilinear Hausdorff type operators on two-weighted Morrey–Herz p-adic sp...
Article
Full-text available
In this paper, we give new necessary and sufficient conditions for the boundedness of p-adic multilinear Hausdorff operators on two-weighted Morrey spaces and Herz spaces. As consequences, we obtain the sharp bounds of p-adic multilinear Hilbert operator, p-adic multilinear Hardy operator and p-adic multilinear Hardy–Littlewood–Pólya operator on tw...
Article
The aim of this paper is to establish the boundedness of the Hausdorff operator in the Triebel-Lizorkin spaces and Herz spaces with absolutely homogeneous weights and the Muckenhoupt weights on p-adic field. Moreover, the corresponding operator norms are estimated. Some applications to the Hardy, Hilbert and weighted Hardy-Cesàro operators on p-adi...
Article
We establish the sharp boundedness of p-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, boundedness is also obtained for the commutators of p-adic multilinear Hausdorff operators on these spaces with symbols in the central BMO space.
Article
UDC 517.9 We establish the sharp boundedness of -adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of -adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is also obt...
Article
In this paper, we discuss some sufficient conditions for the boundedness of rough Hausdorff operators on the central Morrey and Herz spaces with the Muckenhoupt weights on the Heisenberg group. The boundedness for the commutators of rough Hausdorff operators with symbols in weighted CMO space on such spaces is given as well.
Article
Full-text available
In this paper, we establish some necessary and sufficient conditions for the boundedness of generalized multilinear Hausdorff operators on weighted central Morrey, Herz, and Morrey–Herz spaces on the Heisenberg group. Moreover, we also give some sufficient conditions for the boundedness of generalized multilinear Hausdorff operators on such spaces...
Article
Full-text available
The aim of this paper is to establish some necessary and sufficient conditions for the boundedness of the Hausdorff operators on two-weighted central Morrey, Herz, and Morrey–Herz spaces on the p-adic fields. Moreover, the sufficient conditions of boundedness of commutators of p-adic Hausdorff operators with symbols in the Lipschitz spaces on two-w...
Article
The purpose of this paper is to establish some necessary and sufficient conditions for the boundedness of the multilinear Hausdorff operators on the product of some two-weighted function spaces such as the two-weighted Morrey, Herz and Morrey–Herz spaces. Moreover, some sufficient conditions for the boundedness of multilinear Hausdorff operators on...
Article
Full-text available
In this paper, we give necessary and sufficient conditions for the boundedness of rough Hausdorff operators on Herz, Morrey and Morrey–Herz spaces with absolutely homogeneous weights. Especially, the estimates for operator norms in each case are worked out. Moreover, we also establish the boundedness of the commutators of rough Hausdorff operators...
Article
Full-text available
In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spaces. Secondly, we establish the boundedness of sublinear operators including many interesting in harmonic analysis and its commutators on the weighted Morrey spaces. Fina...
Article
The aim of this paper is to give some sufficient conditions for the boundedness of commutators of Hausdorff operators with symbols in weighted central BMO type spaces on the Herz spaces, central Morrey spaces and Morrey-Herz spaces associated with both power weights and Muckenhoupt weights on the Heisenberg group.
Article
The aim of this paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable exponent such as the weighted Herz and Morrey–Herz type spaces with variable exponent. Our results improve and generalize some previous...
Poster
Pure and Applied Mathematics Journal (http://www.pamjournal.org) is really excited to announce the new special issue Morrey Spaces and Related Function Spaces (http://www.pamjournal.org/sinfo/141026). This Special Issue represents an effort to capture current developments in Morrey Spaces. Novel insights as well as fundamental research and analysis...
Article
In this paper, we prove the boundedness of matrix Hausdorff operators and rough Hausdorff operators in the two weighted Herz-type Hardy spaces associated with both power weights and Muckenhoupt weights. By applying the fact that the standard infinite atomic decomposition norm on two weighted Herz-type Hardy spaces is equivalent to the finite atomic...
Article
In this paper, we establish the boundedness of p-adic Hardy-Littlewood maximal operators and p-adic Riesz potential operators on the weighted Lebsegue and Morrey spaces. Moreover, the boundedness for the commutators of p-adic Riesz potential operators on the weighted Morrey spaces with symbols in central BMO space is also given.
Article
The aim of this paper is to introduce and study the boundedness of a new class of p-adic rough multilinear Hausdorff operators on the product of Herz, central Morrey and Morrey–Herz spaces with both power weights and Muckenhoupt weights. We also establish the boundedness for the commutators of p-adic rough multilinear Hausdorff operators on the wei...
Preprint
The purpose of this paper is to establish some neccessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some two weighted function spaces such as the two weighted Morrey, Herz and Morrey-Herz spaces. Moreover, some sufficient conditions for the boundedness of multilin...
Preprint
The aim of this paper is to introduce and study the boundedness of a new class of p-adic rough multilinear Hausdorff operators on the product of Herz, central Morrey and Morrey-Herz spaces with power weights and Muckenhoupt weights. We also establish the boundedness for the commutators of p-adic rough multilinear Hausdorff operators on the weighted...
Preprint
In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spaces. Secondly, we establish the boundedness of sublinear operators including many interesting in harmonic analysis and its commutators on the weighted Morrey spaces. Fina...
Preprint
In this paper, we establish the sharp boundedness of p-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of p-adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is a...
Preprint
Full-text available
In this paper, we prove the boundedness of matrix Hausdorff operators and rough Hausdorff operators in the two weighted Herz-type Hardy spaces associated with both power weights and Muckenhoupt weights. By applying the fact that the standard infinite atomic decomposition norm on two weighted Herz-type Hardy spaces is equivalent to the finite atomic...
Preprint
The aim of this paper is to study the sharp bounds of rough Hausdorff operators on the product of Herz, central Morrey and Morrey-Herz spaces with both power weights and Muckenhoupt weights on the Heisenberg group. Especially, by applying the block decomposition of the Herz space, we obtain the boundedness of rough Hausdorff operator in the case 0...
Preprint
Full-text available
In this paper, we give necessary and sufficient conditions for the boundedness of rough Hausdorff operators on Herz, Morrey and Morrey-Herz spaces with absolutely homogeneous weights. Especially, the estimates for operator norms in each case are worked out. Moreover, we also establish the boundedness of the commutators of rough Hausdorff operators...
Article
Full-text available
In this paper, we establish the boundedness of the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belong to both Lipschitz space and central BMO space. By these, we generalize and strengthen some previous known results.
Article
Full-text available
The aim of the present paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable exponent such as the weighted Lebesgue, Herz, central Morrey and Morrey-Herz type spaces with variable exponent. Our results imp...
Article
Full-text available
In this paper, by using the idea of linearizing maximal op-erators originated by Charles Fefferman and the TT* method of Stein-Wainger, we establish a weighted inequality for vector valued maximal Carleson type operators with singular kernels proposed by Andersen and John on the weighted Lorentz spaces with vector-valued functions.
Article
Full-text available
In this article we give necessary and sufficient conditions for the boundedness of the weighted Hardy-Cesà ro operators which is associated to the parameter curve γ(t, x) = γ(t)x defined by Uψ, ᵞ f(x) = ʃʃ*p f(ᵞ(t)x)ψ(t)dt on the weighted Morrey-Herz space over the p-adic field. Especially, the corresponding operator norms are established in each c...
Article
In this paper we will prove the boundedness of weighted Hardy-Cesàro operator on Herz and Morrey-Herz spaces with absolutely homogeneous weights. The corresponding operator norms are obtained. We also prove the boundedness of the commutators of Hardy-Cesàro operator on weighted spaces of Morrey-Herz type, with their symbols belong to Lipschitz spac...
Article
The purpose of this paper is to study the boundedness of the wavelet integral operator on the Besov, BMO, and H 1 spaces. Furthermore, for the basic wavelet with compact support, the boundedness of the wavelet transform on the weighted Besov spaces and on the weighted BMO spaces associated with a tempered weight function is also established.
Article
Full-text available
In this paper we prove that p-adic wavelets form an unconditional basis in the space L r (ℚ p n ) and give the characterization of the space L r (ℚ p n ) in terms of Fourier coefficients of p-adic wavelets.Moreover, the Greedy bases in the Lebesgue spaces on the field of p-adic numbers are also established.
Article
Full-text available
In this paper we give necessary and sufficient conditions for the boundedness of the weighted Hardy-Littlewood averages and the weighted Cesàro averages on p-adic Triebel-Lizorkin spaces and p-adic Morrey-Herz spaces. Especially, the corresponding operator norms in each case are established. Furthermore, sufficient conditions of the boundedness of...

Projects

Projects (2)
Project
Harmonic analysis