Singular integrals supported on submanifolds
Robert Strichartz (1982)
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Robert Strichartz (1982)
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Alberto Torchinsky (1973)
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A. Calderón, A. Zygmund (1979)
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Lung-Kee Chen (1987)
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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.
A. Calderón, Antoni Zygmund (1954)
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Benjamin Muckenhoupt (1972)
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Alberto Calderón, Osvaldo Capri (1984)
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E. Fabes, N. Rivière (1966)
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J. Ash, P. Ash, C. Fefferman, R. Jones (1979)
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Richard Wheeden (1969)
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