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Rough bilinear fractional integrals with variable kernels

Authors:

Affiliation:

1.Department of Mathematics,Zhejiang University, Hangzhou 310027, China; 2.Department of Mathematics,University of Wisconsin-Milwaukee, Milwaukee, WI 53217, USA;

Abstract:

We study the rough bilinear fractional integral

$tilde B_{Omega ,alpha } (f,g)(x) = int_{mathbb{R}^n } {f(x + y)g(x - y)frac{{Omega (x,y')}}{{left\| y right\|^{n - alpha } }}dy} ,$tilde B_{Omega ,alpha } (f,g)(x) = int_{mathbb{R}^n } {f(x + y)g(x - y)frac{{Omega (x,y')}}{{left\| y right\|^{n - alpha } }}dy} ,

Keywords:	Bilinear operator multilinear fractional integral variable kernel
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