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Nonisotropic strongly singular integral operators

Author(s): Bassam Shayya
Journal: Trans. Amer. Math. Soc. 354 (2002), 4893-4907.
MSC (2000): Primary 42B20; Secondary 42B15
Posted: August 1, 2002
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Abstract: We consider a class of strongly singular integral operators which include those studied by Wainger, and Fefferman and Stein, and extend the results concerning the $L^p$ boundedness of these operators to the nonisotropic setting. We also describe a geometric property of the underlying space which helps us show that our results are sharp.

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Additional Information:

Bassam Shayya
Affiliation: Department of Mathematics, American University of Beirut, Beirut, Lebanon
Email: bshayya@aub.edu.lb

DOI: 10.1090/S0002-9947-02-03097-0
PII: S 0002-9947(02)03097-0
Received by editor(s): May 6, 1997
Posted: August 1, 2002
Copyright of article: Copyright 2002, American Mathematical Society

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