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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Weak $ (1,1)$ estimate for oscillatory singular integrals with real-analytic phases


Author: Yibiao Pan
Journal: Proc. Amer. Math. Soc. 120 (1994), 789-802
MSC: Primary 42B20; Secondary 47G10
MathSciNet review: 1169044
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Abstract: In this paper, we prove the uniform weak $ (1,\;1)$ estimate for oscillatory singular integral operators with real-analytic phase functions in the one-dimensional case. Some partial results for the higher-dimensional case is also included.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1169044-6
PII: S 0002-9939(1994)1169044-6
Article copyright: © Copyright 1994 American Mathematical Society