Articles with "zygmund singular" as a keyword



Photo by twincentsen from unsplash

The Higher Integrability of Commutators of Calderón-Zygmund Singular Integral Operators on Differential Forms

Sign Up to like & get
recommendations!
Published in 2018 at "Journal of Function Spaces"

DOI: 10.1155/2018/1949747

Abstract: In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-type inequalities for the commutators acting on the solutions of Dirac-harmonic equations are… read more here.

Keywords: calder zygmund; zygmund singular; commutators calder; integrability commutators ... See more keywords
Photo by introspectivedsgn from unsplash

On weighted compactness of commutators of bilinear maximal Calderón–Zygmund singular integral operators

Sign Up to like & get
recommendations!
Published in 2022 at "Forum Mathematicum"

DOI: 10.1515/forum-2020-0357

Abstract: Abstract Let T be a bilinear Calderón–Zygmund singular integral operator and let T*{T^{*}} be its corresponding truncated maximal operator. For any b∈BMO⁡(ℝn){b\in\operatorname{BMO}({\mathbb{R}^{n}})} and b→=(b1,b2)∈BMO⁡(ℝn)×BMO⁡(ℝn){\vec{b}=(b_{1},b_{2})\in\operatorname{BMO}({\mathbb{R}^{n}})\times% \operatorname{BMO}({\mathbb{R}^{n}})}, let Tb,j*{T^{*}_{b,j}} (j=1,2{j=1,2}) and Tb→*{T^{*}_{\vec{b}}} be the commutators in the… read more here.

Keywords: operatorname; mathbb; bmo; vec ... See more keywords