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A note on singular integrals
Author:
R. Fefferman
Journal:
Proc. Amer. Math. Soc. 74 (1979), 266-270
MSC:
Primary 42A50
MathSciNet review:
524298
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Abstract: In this article we discuss what happens when we consider a convolution operator whose kernel is a Calderón-Zygmund kernel multiplied by a bounded radial function. Some generalizations are obtained.
- [1]
A.
P. Calderon and A.
Zygmund, On the existence of certain singular integrals, Acta
Math. 88 (1952), 85–139. MR 0052553
(14,637f)
- [2]
Alexander
Nagel, Néstor
M. Rivière, and Stephen
Wainger, On Hilbert transforms along curves. II, Amer. J.
Math. 98 (1976), no. 2, 395–403. MR 0450900
(56 #9191b)
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Elias
M. Stein, Maximal functions. I. Spherical means, Proc. Nat.
Acad. Sci. U.S.A. 73 (1976), no. 7, 2174–2175.
MR
0420116 (54 #8133a)
- [1]
- A. P. Calderón and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. MR 0052553 (14:637f)
- [2]
- A. Nagel, N. M. Rivière and S. Wainger, On Hilbert transforms along curves. II, Amer. J. Math. 98 (1976), 395-403. MR 0450900 (56:9191b)
- [3]
- E. M. Stein, Maximal functions: spherical means, Proc. Nat. Acad. Sci. U.S.A. 73 (1976), 2174-2175. MR 0420116 (54:8133a)
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DOI:
http://dx.doi.org/10.1090/S0002-9939-1979-0524298-3
PII:
S 0002-9939(1979)0524298-3
Keywords:
Calderón-Zygmund kernels
Article copyright:
© Copyright 1979 American Mathematical Society
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