Results 311 to 320 of about 242,721 (361)

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

Acta Mathematica Scientia, 1998
Abstract In this paper, the author discusses some singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations with Cauchy kernels, and obtain some useful properties for them. These results improve both the classical theory of singular integral equation and the classical theory of ...
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The operator of singular integration

1991
In this chapter the most important properties of the operator of singular integration $$(S_{\Gamma\varphi})(t)=\frac{1}{\pi i}\underset{\Gamma}{\int}\frac{\varphi(\tau )}{\tau -t}d\tau$$ as well as various theorems on the boundedness of this operator will be explained. Moreover, fundamental properties of the operator adjoint to SΓ are proved and
Naum Krupnik, Israel Gohberg
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Singular integral operators

2011
Algebras generated by singular integral operators and convolution operators are one of the numerous instances where local principles and projection theorems have been successfully applied. And conversely, it was mainly the study of these algebras which stimulated the development of local principles and projection theorems as a tool in operator theory ...
Pedro A. Santos, Bernd Silbermann, Steffen Roch   +2 more
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ON THE COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

Acta Mathematica Scientia, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compactness for the commutators of multilinear singular integral operators with non-smooth kernels

Applied Mathematics-A Journal of Chinese Universities, 2014
In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered.
Rui Bu, Jiecheng Chen
semanticscholar   +1 more source

On a multilinear singular integral operator

Approximation Theory and its Applications, 1995
Summary: In this paper, we prove that the maximal operator \[ T^*_{A_1, A_2} f(x)= \sup_{\varepsilon >0} \Bigg|\int_{|x- y|> \varepsilon} \prod^2_{j=1} P_{m_j} (A_j; x, y) {{\Omega (x-y)} \over {|x- y|^{M+ n}}} f(y) dy \Biggr|, \qquad n\geq2, \] satisfies \[ |T^*_{A_1, A_2} f|_p \leq C \sum_{|\alpha |=m_1} |D^\alpha A_1 |_{\text{BMO}} \sum_{|\beta ...
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On the Structure of Singularities of Integrable Schrödinger Operators

Letters in Mathematical Physics, 2000
The classical nineteenth century Darboux transformation proved extremely useful as an efficient tool of analysis in quantum mechanics. Unfortunately, virtually all its applications (e.g., in the Schrödinger's factorization algorithm, in the context of the famous inverse scattering transformation or within the Witten's supersymmetric quantum mechanics ...
Yuri Berest, Alexander P. Veselov, Alexander P. Veselov   +2 more
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Singular Integral Operators

2001
We present in this chapter the definition and the main properties of the singular integral operator. These results are quite classical and were first studied by Giraud [78] in France and then Calderon and Zygmund in the United States and Michlin in Russia. The present exposition uses some ideas of the notes of V. Neri and the book of E.M.
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Singular Integral Operators on Manifolds with A Boundary

gmj, 1994
Abstract This paper deals with singular integral operators that are bounded, completely continuous, and Noetherian on manifolds with a boundary in weighted Hölder spaces.
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Boundedness of Singular Integral Operators on Local Hardy Spaces and Dual Spaces

Potential Analysis, 2020
Wei Ding, Yongsheng Han, Yue-Ping Zhu
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