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Estimates for singular integrals . . .
, 2007
"... In this note, we study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove L p boundedness of the singular integrals under a certai ..."
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In this note, we study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove L p boundedness of the singular integrals under a
ON THE HOMOGENIZATION OF SINGULAR INTEGRALS
, 903
"... Abstract. We study periodic homogenization by Γconvergence of some singular integral functionals related to nonlinear elasticity. ..."
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Abstract. We study periodic homogenization by Γconvergence of some singular integral functionals related to nonlinear elasticity.
ON THE APPROXIMATION OF SINGULAR INTEGRALS
, 2007
"... Abstract. In this work we present an approximation for singular integrals of Cauchy type using a small technical in order to eliminate the singularity. This approximation is destined to resolve numerically the singular integral equations with Cauchy type kernel on a smooth contour oriented. ..."
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Cited by 2 (1 self)
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Abstract. In this work we present an approximation for singular integrals of Cauchy type using a small technical in order to eliminate the singularity. This approximation is destined to resolve numerically the singular integral equations with Cauchy type kernel on a smooth contour oriented.
A Weakly Singular Integral Equation
, 2007
"... Superconvergence of projection methods for weakly singular integral operators ..."
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Superconvergence of projection methods for weakly singular integral operators
THE SINGULAR integral equation 1
, 1977
"... A simple direct relationship is.established between solutions of a singular integral equation encountered in waveguide theory and in the theory of dislocations and the solutions of the singular Carleman integral equation. ..."
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A simple direct relationship is.established between solutions of a singular integral equation encountered in waveguide theory and in the theory of dislocations and the solutions of the singular Carleman integral equation.
ON SINGULAR INTEGRAL OPERATORS
, 2008
"... Abstract. In this paper we study singular integral operators which are hyper or weak over Lipscitz/Hölder spaces and over weighted Sobolev spaces de
ned on unbounded smooth domains in the standard nD Euclidean space Rn, where n 1. The operator in this case is one of the hypersingular integral oper ..."
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Abstract. In this paper we study singular integral operators which are hyper or weak over Lipscitz/Hölder spaces and over weighted Sobolev spaces de
ned on unbounded smooth domains in the standard nD Euclidean space Rn, where n 1. The operator in this case is one of the hypersingular integral
ESTIMATES FOR MAXIMAL SINGULAR INTEGRALS
"... Abstract. It is shown that maximal truncations of nonconvolution L 2bounded singular integral operators with kernels satisfying Hörmander’s condition are weak type (1, 1) and L p bounded for 1 <p<∞. Under stronger smoothness conditions, such estimates can be obtained usinga generalization of ..."
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Cited by 1 (0 self)
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Abstract. It is shown that maximal truncations of nonconvolution L 2bounded singular integral operators with kernels satisfying Hörmander’s condition are weak type (1, 1) and L p bounded for 1 <p<∞. Under stronger smoothness conditions, such estimates can be obtained usinga generalization
REMOVABILITY, SINGULAR INTEGRALS AND RECTIFIABILITY
"... This is a survey on the interplay between the structure of removable singularities of bounded analytic functions and of Lipschitz harmonic functions, behaviour of Cauchy and Riesz singular integrals on mdimensional subsets of Rn, and rectifiability properties of sets. AMS 2000 Subject Classificati ..."
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This is a survey on the interplay between the structure of removable singularities of bounded analytic functions and of Lipschitz harmonic functions, behaviour of Cauchy and Riesz singular integrals on mdimensional subsets of Rn, and rectifiability properties of sets. AMS 2000 Subject
ON SINGULAR INTEGRAL AND MARTINGALE TRANSFORMS
"... Abstract. Linear equivalences of norms of vectorvalued singular integral operators and vectorvalued martingale transforms are studied. In particular, it is shown that the UMDconstant of a Banach space X equals the norm of the real (or the imaginary) part of the BeurlingAhlfors singular integral ..."
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Cited by 20 (3 self)
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Abstract. Linear equivalences of norms of vectorvalued singular integral operators and vectorvalued martingale transforms are studied. In particular, it is shown that the UMDconstant of a Banach space X equals the norm of the real (or the imaginary) part of the BeurlingAhlfors singular integral
WEAK CONVERGENCE OF SINGULAR INTEGRALS
"... Abstract. We show that the truncated singular integral operators T εµ,K(f)(x) = Rn\B(x,ε) K(x − y)f(y)dµy. converge weakly in some dense subspaces of L2(µ), under mild assumptions for the measures and the kernels. 1. ..."
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Abstract. We show that the truncated singular integral operators T εµ,K(f)(x) = Rn\B(x,ε) K(x − y)f(y)dµy. converge weakly in some dense subspaces of L2(µ), under mild assumptions for the measures and the kernels. 1.
Results 1  10
of
4,505