We establish L^p boundedness for a double analytic family of fractional integrals. Our proof is based on product-type kernels arguments. We prove in particular that the convolution kernel is a product kernel adapted to a polynomial curve in R^3.
Product structures and fractional integration along curves
CASARINO, VALENTINA;CIATTI, PAOLO;
2012
Abstract
We establish L^p boundedness for a double analytic family of fractional integrals. Our proof is based on product-type kernels arguments. We prove in particular that the convolution kernel is a product kernel adapted to a polynomial curve in R^3.
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