Results 91 to 100 of about 1,883 (143)

Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals

, 2012
Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of positive dyadic operators. We give an elementary self-contained proof of this fact, which is simpler than the probabilistic arguments used for all previous results in this ...
Hytönen, Tuomas P., Lacey, Michael T., Pérez, Carlos   +2 more
core   +1 more source

ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES

, 2020
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
semanticscholar   +1 more source

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

Advances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj   +1 more source

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
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

Addendum to "Maximal regularity and Hardy spaces"

, 2008
We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.
Auscher, Pascal, Bernicot, Frédéric, Zhao, Jiman   +2 more
core   +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

Estimates for operators on weighted Morrey spaces and their applications to nondivergence elliptic equations

, 2013
In this paper, we study the norm inequalities for sublinear operators and their commutators on weighted Morrey spaces. As application, the regularity in the weighted Morrey spaces of strong solutions to nondivergence elliptic equations with VMO ...
S. Shi, Zunwei Fu, Fayou Zhao
semanticscholar   +1 more source

Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

Demonstratio Mathematica, 2020
In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
doaj   +1 more source

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