ESTIMATE FOR A CLASS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATOR WITH ROUGH KERNEL
ESTIMATE FOR A CLASS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATOR WITH ROUGH KERNEL作者机构:Ningbo University China Zhejiang University of Science & Technology China
出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))
年 卷 期:2010年第26卷第4期
页 面:359-366页
学科分类:0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学]
基 金:Supported in part by the NNSF of China under grant #10771110 and #10471069 sponsored by the NSF of Ningbo city under grant #2009A610090
主 题:multilinear operator fractional integral Hardy space
摘 要:In this paper, we prove the boundedness from H1 (Rn) to Ln/n-α∞, (Rn) for the multilinear fractional integral operator with rough kernel related to the mi-th remainder of Taylor series of Ai at x about y for i = 1,2,..., l.