Behaviour of an Oscillatory
نویسندگان
چکیده
The boundedness on weighted local Hardy spaces h 1;p w of the oscil-latory singular integral Tf(x) = Z R n e iQ(x;y) K(x; y)f(y)dy is considered when Q(x; y) = P(x ? y) for some real-valued polynomial P with its degree not less than two. Also a suucient and necessary condition on polynomial Q on R n R n such that T maps h 1;p w to weighted integrable function spaces L 1 w is found. AMS subject classiication (1990): 42B20
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