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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Singular integral operators with rough convolution kernels

Author(s): Andreas Seeger
Journal: J. Amer. Math. Soc. 9 (1996), 95-105.
MSC (1991): Primary 42B20; Secondary 42B25
MathSciNet review: 1317232
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References | Similar articles | Additional information

References:

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A. P. Calderón and A. Zygmund, On singular integrals, Amer. J. Math. 78 (1956), 289--309, MR 18:894a.

2
M. Christ, Weak type $(1,1)$ bounds for rough operators, Ann. of Math. (2) 128 (1988), 19--42, MR 89m:42013.

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M. Christ and J.-L. Rubio de Francia, Weak type $(1,1)$ bounds for rough operators, II, Invent. Math. 93 (1988), 225--237, MR 90d:42021.

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M. Christ and C. D. Sogge, The weak type $L^1$ convergence of eigenfunction expansions for pseudo-differential operators, Invent. Math. 94 (1988), 421--453, MR 89j:35096.

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C. Fefferman, Inequalities for strongly singular convolution operators, Acta Math. 124 (1970), 9--36, MR 41:2468.

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S. Hofmann, Weak $(1,1)$ boundedness of singular integrals with nonsmooth kernel, Proc. Amer. Math. Soc. 103 (1988), 260--264, MR 89f:42013.

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E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, NJ, 1971, MR 44:7280.


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Additional Information:

Andreas Seeger
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: seeger@math.wisc.edu

DOI: 10.1090/S0894-0347-96-00185-3
PII: S 0894-0347(96)00185-3
Received by editor(s): August 5, 1994
Additional Notes: Research supported in part by a grant from the National Science Foundation.
Copyright of article: Copyright 1996, American Mathematical Society




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