Regularity of Fourier integrals on product spaces
Abstract
We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on RN. We show that these operators of order -(N-1)/2 are bounded from classical, atom decomposable H1-Hardy space to L1(RN). Consequently, we obtain a sharp Lp-regularity result due to Seeger, Sogge and Stein.
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