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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
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Additional information
References:
- 1
- A. P. Calderón and A. Zygmund, On singular integrals, Amer. J. Math. 78 (1956), 289--309, MR 18:894a.
- 2
- M. Christ, Weak type
bounds for rough operators, Ann. of Math. (2) 128 (1988), 19--42, MR 89m:42013. - 3
- M. Christ and J.-L. Rubio de Francia, Weak type
bounds for rough operators, II, Invent. Math. 93 (1988), 225--237, MR 90d:42021. - 4
- M. Christ and C. D. Sogge, The weak type
convergence of eigenfunction expansions for pseudo-differential operators, Invent. Math. 94 (1988), 421--453, MR 89j:35096. - 5
- C. Fefferman, Inequalities for strongly singular convolution operators, Acta Math. 124 (1970), 9--36, MR 41:2468.
- 6
- S. Hofmann, Weak
boundedness of singular integrals with nonsmooth kernel, Proc. Amer. Math. Soc. 103 (1988), 260--264, MR 89f:42013. - 7
- 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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