Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications
In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
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Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets
In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms.
Gasmi Abdessalem +2 more
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Hardy’s inequalities and integral operators on Herz-Morrey spaces
We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
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Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part
Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
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The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application
The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents is given. As its application, the boundedness of a convolution type singular integral on HerzMorrey-Hardy spaces with variable exponents is obtained.
Jingshi Xu, Xiaodi Yang
semanticscholar +1 more source
ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES
In this paper we consider the generalized shift operator, associated with the Dunkl operator and we investigate maximal commutators, commutators of singular integral operators and commutators of the fractional integral operators associated with the ...
S. Hasanli
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The aim of this paper is to establish the vector-valued inequalities for Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ∗-functions, and their commutators on the Herz-Morrey spaces with variable ...
Lijuan Wang, S. Tao
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Two-weighted inequalities for the fractional integral associated to the Schrödinger operator
In this article we prove that the fractional integral operator associated to the Schrödinger second order differential operator L −α/2 = (−Δ + V )−α/2 maps with continuity weak Lebesgue space Lp,∞(v) into weighted Campanato-Hölder type spaces BMOL (w ...
R. Crescimbeni +2 more
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Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
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Some estimates for commutators of Littlewood-Paley g-functions
The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
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