Sharp bounds for fractional One-sided operators

被引：6
|
作者：
Silvina Riveros, Maria [1 ]
Emilio Vidal, Raul [1 ]
机构：
[1] UNC, CONICET, FAMAF, CIEM, Ciudad Univ, RA-5000 Cordoba, Argentina
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 11期
关键词：
One-sided fractional integrals; one-sided maximal fractional function; extrapolation; Sawyer weights; WEIGHTED NORM INEQUALITIES; MAXIMAL OPERATORS; INTEGRAL-OPERATORS; EXTRAPOLATION; SPACES;
D O I：
10.1007/s10114-016-5552-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：1255 / 1278
页数：24
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