Bounds for singular fractional integrals and related Fourier integral operators [PDF]
, 2002 We prove sharp L^p-L^q endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature assumption.Comment: 30 ...
Seeger, Andreas, Wainger, Stephen
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Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory [PDF]
, 1997 We construct gauge invariant operators for singular knots in the context of Chern-Simons gauge theory. These new operators provide polynomial invariants and Vassiliev invariants for singular knots.
Akutsu +57 more
core +2 more sources
Weakly Canceling Operators and Singular Integrals [PDF]
Proceedings of the Steklov Institute of Mathematics, 2021 12 ...
openaire +3 more sources
Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces
Abstract and Applied Analysis, 2014 We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce
Chaoqiang Tan
doaj +1 more source
Rank one perturbations and singular integral operators [PDF]
, 2008 We consider rank one perturbations $A_\alpha=A+\alpha(\cdot,\varphi)\varphi$ of a self-adjoint operator $A$ with cyclic vector $\varphi\in\mathcal H_{-1}(A)$ on a Hilbert space $\mathcal H$. The spectral representation of the perturbed operator $A_\alpha$
Liaw, Constanze, Treil, Sergei
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Characterization of compactness of commutators of bilinear singular integral operators [PDF]
Proceedings of the American Mathematical Society, 2017 The commutators of bilinear Calder\'on-Zygmund operators and point-wise multiplication with a symbol in $cmo$ are bilinear compact operators on product of Lebesgue spaces. This work shows that, for certain non-degenerate Calder\'on-Zygmund operators, the
Lucas Chaffee +4 more
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, $M ...
Ortiz-Caraballo, Carmen +2 more
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$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 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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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