Results 31 to 40 of about 242,721 (361)

Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms [PDF]

Memoirs of the American Mathematical Society, 2015
The purpose of this paper is to study algebras of singular integral operators on $\mathbb{R}^{n}$ and nilpotent Lie groups that arise when one considers the composition of Calder\'on-Zygmund operators with different homogeneities, such as operators that ...
A. Nagel, F. Ricci, E. Stein, S. Wainger
semanticscholar   +1 more source

Exponential decay estimates for Singular Integral operators [PDF]

, 2013
The following subexponential estimate for commutators is proved |[|\{x\in Q: |[b,T]f(x)|>tM^2f(x)\}|\leq c\,e^{-\sqrt{\alpha\, t\|b\|_{BMO}}}\, |Q|, \qquad t>0.\] where $c$ and $\alpha$ are absolute constants, $T$ is a Calder\'on--Zygmund operator, $M ...
Ortiz-Caraballo, Carmen, Pérez, Carlos, Rela, Ezequiel   +2 more
core   +2 more sources

Sparse Domination Theorem for Multilinear Singular Integral Operators with $L^{r}$-Hörmander Condition [PDF]

, 2016
Tuomas Hytonen's ERC Starting Grant ``Analytic-probabilistic methods for borderline singular integrals''.
Kangwei Li
semanticscholar   +1 more source

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

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

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

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

Maximal and singular integral operators and their commutators on generalized weighted Morrey spaces with variable exponent

, 2018
We consider the generalized weighted Morrey spaces M p(·),φ ω (Ω) with variable exponent p(x) and a general function φ(x,r) defining the Morrey-type norm.
V. Guliyev, J. Hasanov, Xayyam A. Badalov   +2 more
semanticscholar   +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