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Oscillatory kernels in certain Hardy-type spaces. (English) Zbl 0813.42012
This paper continues work by one of the authors on oscillating integrals on Besov spaces [cf. D. Fan, J. Math. Anal. Appl. 187, No. 3, 986- 1002 (1994; preceding review)]. In the present paper the authors consider oscillating integrals on the spaces $$H^ p_ 0(\mathbb{R}^ n)$$, $$p\leq 1$$. Their results extend the result by Fan, which corresponds to the case $$p= 1$$.

##### MSC:
 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B30 $$H^p$$-spaces 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
##### Keywords:
Hardy-type spaces; oscillating integrals
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