Results 91 to 100 of about 1,940 (138)

Two weight estimates for a class of (p, q) type sublinear operators and their commutators

Open Mathematics, 2019
In the present paper, the authors investigate the two weight, weak-(p, q) type norm inequalities for a class of sublinear operators 𝓣γ and their commutators [b, 𝓣γ] on weighted Morrey and Amalgam spaces.
Yunpeng Hu, Jiang Zhou, Yonghui Cao
doaj   +1 more source

Regularity for commutators of the local multilinear fractional maximal operators

Advances in Nonlinear Analysis, 2020
In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
doaj   +1 more source

Boundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent

Journal of Inequalities and Applications, 2014
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
semanticscholar   +1 more source

Centered Hardy-Littlewood maximal function on product manifolds

Advances in Nonlinear Analysis, 2022
Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
doaj   +1 more source

Dunkl-spherical maximal function [PDF]

, 2013
In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.Comment: 16 pages.
Jemai, Abdessattar
core  

On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials [PDF]

, 2009
Mathematics Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...].
Guliyev, Emin
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Inequality estimates for the boundedness of multilinear singular and fractional integral operators

, 2013
In this paper, the inequality of boundedness for the multilinear fractional singular integral operators associated to the weighted Lipschitz functions is estimated.
Xiaosha Zhou, Chuangxia Huang, Haijun Hu, Li Liu   +3 more
semanticscholar   +1 more source

Φ-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces

, 2014
We study the boundedness of Φ-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMΦ,φ(Rn) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as
V. Guliyev, F. Deringoz, J. Hasanov
semanticscholar   +1 more source

Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents

Open Mathematics, 2018
Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫RnΩ(x,x−y)|x−y|nf(y)dy$$\begin{array}{} \displaystyle Tf(x)= p.v. \int\limits_{\mathbb{R}^{n}}\frac{{\it\Omega}(x,x-y)}{|x-y|^{n}}f(y)\text{d}y \end{array} $$
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Addendum to : Orthonormal bases of regular wavelets in spaces of homogeneous type

, 2015
We bring a precision to our cited work concerning the notion of "Borel measures", as the choice among different existing definitions impacts on the validity of the results.Comment: 1 page.
Auscher, Pascal, Hytönen, Tuomas
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