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- W2316548151 abstract "In this paperwe establish $L^p$ boundedness ($1 < p < infty$) for a double analytic family of fractional integrals$S^{gamma}_{z}$, $gamma,z ∈mathbb{C}$,when $Re e z=0$.Our proof is based on product-type kernelsarguments. More precisely, we prove that the convolution kernelof $S^{gamma}_{z}$ is a product kernel on $mathbb{R}^3$,adapted to thepolynomial curve $x_1mapsto (x_1^m,x_1^n)$ (here $m,n∈mathbb{N},m ≥ 1, n > m $)." @default.
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- W2316548151 date "2012-12-01" @default.
- W2316548151 modified "2023-09-25" @default.
- W2316548151 title "Product structures and fractional integration along curves in the space" @default.
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- W2316548151 doi "https://doi.org/10.3934/dcdss.2013.6.619" @default.
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