Results 21 to 30 of about 495,262 (315)

On the Composition of Rough Singular Integral Operators [PDF]

The Journal of Geometric Analysis, 2020
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 operators with rough homogeneous kernels on $L^p(\mathbb{R}^d,\,w)$, $p\in (1,\,\infty)$, which is smaller
Guoen Hu, Xudong Lai, Qingying Xue
openaire   +3 more sources

Weakly Canceling Operators and Singular Integrals [PDF]

Proceedings of the Steklov Institute of Mathematics, 2021
12 ...
openaire   +3 more sources

$L^2$-oundedness of a singular integral operator [PDF]

Publicacions Matemàtiques, 1997
In this paper we study a singular integral operator $T$ with rough kernel. This operator has singularity along sets of the form $\{x=Q(|y|)y'\}$, where $Q(t)$ is a polynomial satisfying $Q(0)=0$. We prove that $T$ is a bounded operator in the space $L^2(R^n)$, $n\ge 2$, and this bound is independent of the coefficients of $Q(t)$.
Fan, D., Pan, Yibiao
openaire   +6 more sources

On the scaling limit of a singular integral operator [PDF]

Geometriae Dedicata, 2007
14 pages, no ...
Igor Krichever, Duong Phong
openaire   +3 more sources

Extension of linear operators with applications

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
The article presents a method for solving characteristic singular integral equations perturbed with compact operators. The method consists in reducing the solution of these equations to the solution of the systems of singular (unperturbed) equations ...
Vasile Neagu, Diana Bîclea
doaj   +1 more source

Lipschitz Estimates for One-Sided Cohen’s Commutators on Weighted One-Sided Triebel-Lizorkin Spaces

Journal of Function Spaces, 2014
We introduce one-sided Cohen’s commutators of singular integral operators and fractional integral operators, respectively. Using the extrapolation of one-sided weights, we establish the boundedness of these operators from weighted Lebesgue spaces to ...
Xiao Jin Zhang, Xian Ming Hou
doaj   +1 more source

Boundedness of several operators on weighted Herz spaces

Journal of Function Spaces and Applications, 2009
We consider the boundedness of singular integral operators and fractional integral operators on weighted Herz spaces. For this purpose we introduce generalized Herz space. Our results are the best possible.
Yasuo Komori, Katsuo Matsuoka
doaj   +1 more source

p-adic singular integrals and their commutators in generalized Morrey spaces

Journal of Inequalities and Applications, 2019
For a prime number p, let Qp $\mathbb{Q}_{p}$ be the field of p-adic numbers. In this paper, we establish the boundedness of a class of p-adic singular integral operators on the p-adic generalized Morrey spaces.
Hui X. Mo, Zhe Han, Liu Yang, Xiao J. Wang   +3 more
doaj   +1 more source

A note on maximal singular integrals with rough kernels

Journal of Inequalities and Applications, 2020
In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators.
Xiao Zhang, Feng Liu
doaj   +1 more source

Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators

Mathematics, 2023
In this paper, the method of transmutation operators is used to construct an exact solution of the Goursat problem for a fourth-order hyperbolic equation with a singular Bessel operator.
Sergei M. Sitnik, Shakhobiddin T. Karimov   +1 more
doaj   +1 more source