Results 21 to 30 of about 248,172 (367)
Singular integral operators associated to curves with rational components [PDF]
, 2008 We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on ...
Folch-Gabayet, Magali, Wright, James
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On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces
Journal of Function Spaces, 2016 We study some multilinear operators with rough kernels. For the multilinear fractional integral operators TΩ,αA and the multilinear fractional maximal integral operators MΩ,αA, we obtain their boundedness on weighted Morrey spaces with two weights Lp,κ(u,
Sha He, Xiangxing Tao
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Open Mathematics, 2015 In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
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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 +2 more
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Fourier integrals operators on lie groupoids [PDF]
, 2016 As announced in [12], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study convolability and invertibility of Lagrangian conic submanifolds of the symplectic groupoid T * G.
Lescure, Jean-Marie, Vassout, Stéphane
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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
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Three Observations on Commutators of Singular Integral Operators with BMO Functions [PDF]
, 2016 Three observations on commutators of Singular Integral Operators with BMO functions are exposed, namely 1. The already known subgaussian local decay for the commutator, namely $$\displaystyle{ \frac{1} {\vert Q\vert }\left \vert \left \{x \in Q\,
C. P'erez, Israel P. Rivera-R'ios
semanticscholar +1 more source
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
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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
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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
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