WEIGHTED L^p BOUNDEDNESS FOR MULTILINEAR FRACTIONAL INTEGRAL ON PRODUCT SPACES

作     者：Yanlong Shi Xiangxing Tao 

作者机构：Ningbo University China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2008年第24卷第3期

页      面：280-291页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the NNSF of China under Grant#10771110 NSF of Ningbo City under Grant#2006A610090 

主　　题：multilinear fractional integral multilinear fractional maximal function Ap,q a weight Ap,q weight 

摘      要：For 0 〈 α 〈 mn and nonnegative integers n ≥ 2, m≥ 1, the multilinear fractional integral is defined bywhere →y= （y1, Y2,…, ym） and 7 denotes the m-tuple （f1, f2,…, fm）. In this note, the one- weighted and two-weighted boundedness on Lp （JRn） space for multilinear fractional integral operator I（am） and the fractional multi-sublinear maximal operator Mα（m） are established re- spectively. The authors also obtain two-weighted weak type estimate for the operator Mα（m）.