Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904983 | Advances in Mathematics | 2018 | 25 Pages |
Abstract
We study the rough bilinear singular integral, introduced by Coifman and Meyer [8],TΩ(f,g)(x)=p.v.â«Rnâ«Rn|(y,z)|â2nΩ((y,z)/|(y,z)|)f(xây)g(xâz)dydz, when Ω is a function in Lq(S2nâ1) with vanishing integral and 2â¤qâ¤â. When q=â we obtain boundedness for TΩ from Lp1(Rn)ÃLp2(Rn) to Lp(Rn) when 1
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Loukas Grafakos, Danqing He, Petr HonzÃk,