Weighted Inequalities for Bilinear Rough Singular Integrals from \(L^2\times L^2\) to \(L^1\)
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We establish a weighted inequality for bilinear rough singular integrals with bound controlled by the cube of the characteristic constant of the pair of weights.
KeywordsBilinear operators Weighted inequalities Rough singular integrals
Mathematics Subject Classification42B20
Peng Chen was supported by NNSF of China (No. 11501583), Guangdong Natural Science Foundation (No. 2016A030313351), and the Fundamental Research Funds for the Central Universities (No. 161gpy45). Danqing He was supported by NNSF of China (No. 11701583), Guangdong Natural Science Foundation (No. 2017A030310054), and the Fundamental Research Funds for the Central Universities (No. 17lgpy11). Liang Song was supported by NNSF of China (No. 11471338 and 11622113) and Guangdong Natural Science Funds for Distinguished Young Scholar (No. 2016A030306040).
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