Sharp Bounds for Fractional One-sided Operators  

作　　者：Maria Silvina RIVEROS Raul Emilio VIDAL 

机构地区：[1]FaMAF-CIEM, UNC-CONICET, Ciudad Universitaria, 5000 Cdrdoba Argentina

出　　处：《Acta Mathematica Sinica,English Series》2016年第11期1255-1278,共24页数学学报（英文版）

基　　金：Supported by CONICET and SECYT-UNC

摘　　要：In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martin-Reyes and de la Torre. Improving some extrapolation result for the one-sided case, we get weak sharp bounded estimates for one-sided fractional maximal function and weak and strong sharp bounded estimates for one-sided fractional integral.In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martin-Reyes and de la Torre. Improving some extrapolation result for the one-sided case, we get weak sharp bounded estimates for one-sided fractional maximal function and weak and strong sharp bounded estimates for one-sided fractional integral.

关 键 词：One-sided fractional integrals one-sided maximal fractional function EXTRAPOLATION Saw-yer weights 

分 类 号：O[理学]