A note on singular integrals
A. Calderón, A. Zygmund (1979)
Studia Mathematica
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Displaying similar documents to “Addendum to a paper 'On singular integrals'”
A note on singular integrals
On some properties of a class of singular integrals
Cora Sadosky (1966)
Studia Mathematica
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Singular integrals on homogeneous spaces and some problems of classical analysis
A. Korányi, S. Vági (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On numerical cubatures of singular surface integrals in boundary element methods.
W.L. Wendland, C. Schwab (1992)
Numerische Mathematik
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Singular integrals with mixed homogeneity
E. Fabes, N. Rivière (1966)
Studia Mathematica
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On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity.
Ladopoulos, E.G. (1988)
International Journal of Mathematics and Mathematical Sciences
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On singular integrals of Calderón-type in R and BMO.
Steve Hofmann (1994)
Revista Matemática Iberoamericana
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We prove Lp (and weighted Lp) bounds for singular integrals of the form p.v. ∫Rn E (A(x) - A(y) / |x - y|) (Ω(x - y) / |x - y|n) f(y) dy, where E(t) = cos t if Ω is odd, and E(t) = sin t if Ω is even, and where ∇ A ∈ BMO. Even in the case that Ω is smooth, the theory of singular integrals with rough kernels plays a key role in the...
On a singular integral
Lung-Kee Chen (1987)
Studia Mathematica
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On the sum of two Brownian paths
R. Kaufman (1979)
Studia Mathematica
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L boundedness of a singular integral operator.
Dashan Fan, Yibiao Pan (1997)
Publicacions Matemàtiques
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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 L2(Rn), n ≥ 2, and this bound is independent of the coefficients of Q(t). We also obtain certain Hardy type inequalities related to this operator.
Weak type estimates for certain Calderón-Zygmund singular integral operators
Atanas Stefanov (2001)
Studia Mathematica
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We prove weak type (1,1) estimates for a special class of Calderón-Zygmund homogeneous kernels represented as l¹ sums of "equidistributed" H¹ atoms on 𝕊¹.