Results 311 to 320 of about 242,613 (344)
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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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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
1991In 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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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 +2 more
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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 +2 more
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A note on singular integral operators [PDF]
Approximation Theory and its Applications, 1996 In this paper, we study the Lp boundedness for the singular integral operators of R. Fefferman when the kernel satisfies certain size condition. We also consider the corresponding maximal singular integral operators.
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Compactness for the commutators of multilinear singular integral operators with non-smooth kernels
Applied Mathematics-A Journal of Chinese Universities, 2014In 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
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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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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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Estimates for Singular Integral Operators
Computational Methods and Function Theory, 2007Estimates are obtained for \(\int^\infty_0 K(r,t)\phi(t)dt\), where K(r,t) may have a singularity at t = −r.
P. C. Fenton, John Rossi
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ON THE COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
Acta Mathematica Scientia, 2005Abstract L p ( ™ n ) ( 1 p ∞ ) boundedness and a weak type endpoint estimate are considered for the commutators of singular integral operators. A condition on the associated kernel is given under which the L 2 ( ™ n ) boundedness of the singular integral operators implies the L p ( ™ n )
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1999
In this paper, we discuss some singular integral operators and singular quadrature operators for singular integral equations with Hilbert kernel, and obtain some useful properties of them. These results improve both the classical theory of singular integral equation with Hilbert kernel and the classical theory of singular quadrature with Hilbert kernel.
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In this paper, we discuss some singular integral operators and singular quadrature operators for singular integral equations with Hilbert kernel, and obtain some useful properties of them. These results improve both the classical theory of singular integral equation with Hilbert kernel and the classical theory of singular quadrature with Hilbert kernel.
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, 2012
A criteria on the vector-valued Banach function spaces X (B) is obtained so that whenever a vector-valued singular integral operator is bounded on X (B), it can be extended to be a bounded linear operator on the corresponding Morrey type spaces.
K. Ho
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A criteria on the vector-valued Banach function spaces X (B) is obtained so that whenever a vector-valued singular integral operator is bounded on X (B), it can be extended to be a bounded linear operator on the corresponding Morrey type spaces.
K. Ho
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