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Boundedness of oscillatory singular integrals on Hardy spaces. (English) Zbl 0779.42007

Let K be a Calderón-Zygmund kernel and P a polynomial in n . Consider the operator T defined by

Tf(x)=p.v. n e iP(x-y) K(x-y)f(y)dy·

In the paper under review the authors proved the boundedness of T in the Hardy space H 1 , as well as in some weighted Hardy spaces. [See also the following review].


MSC:
42B20Singular and oscillatory integrals, several variables
42B30H p -spaces (Fourier analysis)
References:
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