H1 boundedness of oscillatory singular integrals with degenerate phase functions
1994 ◽
Vol 116
(2)
◽
pp. 353-358
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AbstractIn this paper we study the uniform boundedness of oscillatory singular integral operators with degenerate phase functions on the Hardy space H1. The H1 boundedness was previously known when the phase function is nondegenerate. Here we obtain a sufficient condition for H1 boundedness which allows the phase function vanishing to infinite order.
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