Results 301 to 310 of about 248,172 (367)

Multilinear commutators of multilinear strongly singular integral operators with generalized kernels

Georgian Mathematical Journal, 2023
In [S. Yang and Y. Lin, Multilinear strongly singular integral operators with generalized kernels and applications, AIMS Math. 6 2021, 12, 13533–13551], the authors of the present paper further weaken the smoothness condition of kernel functions with ...
Shuhui Yang, Yan Lin
semanticscholar   +1 more source

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

Forum mathematicum, 2020
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 ...
Shifen Wang, Qingying Xue
semanticscholar   +1 more source

Weighted Norm Inequalities for Rough Singular Integral Operators

Journal of Geometric Analysis, 2017
In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $$T_\Omega $$TΩ with $$\Omega \in L^\infty (\mathbb {S}^{n-1})$$Ω∈L∞(Sn-1) and the Bochner–Riesz multiplier at the critical index $$B_{(n-1)/2}
Kangwei Li   +3 more
semanticscholar   +1 more source

Estimates for Singular Integral Operators

Computational Methods and Function Theory, 2007
For certain classes of kernels leading to singular integral operators of the type \[ \text{p.v.}\,\int^\infty_0 K(r,t)\varphi(t)\,dt, \] the singularity is at \(t= -r\), the authors obtain some estimates. Their main purpose is to bring some techniques due to \textit{A.\,Beurling} [Duke Math.\ J.\ 16, 355--359 (1949; Zbl 0033.36503)] to work in a new ...
Fenton, Peter C., Rossi, John
openaire   +2 more sources

On One Degenerating Singular Integral Operator

Differential Equations, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Composition of Rough Singular Integral Operators

Journal of Geometric Analysis, 2018
In this paper, we investigate the behavior of the bounds of the composition for rough singular integral operators on the weighted space. More precisely, we obtain the quantitative weighted bounds of the composite operator for two singular integral ...
G. Hu, Xudong Lai, Qingying Xue
semanticscholar   +1 more source

Boundedness of Toeplitz operators related to singular integral operators

Izvestiya: Mathematics, 2018
We establish that Toeplitz-type operators related to singular integral operators with variable Calderón– Zygmund kernels are bounded on weighted Morrey spaces. To do this, we prove weighted inequalities for the sharp maximal functions of such operators.
Yanxiang Tan, Lanzhe Liu
semanticscholar   +1 more source

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