SHARP BOUNDS FOR FRACTIONAL TYPE OPERATORS WITH Lα,s-HORMANDER CONDITIONS

被引：0
|
作者：
Ibanez-Firnkorn, Gonzalo H. [1 ]
Silvina Riveros, Maria [1 ]
Vidal, Raul E. [1 ]
机构：
[1] Univ Nacl Cordoba, FAMAF, CIEM, CONICET, RA-5000 Cordoba, Argentina
来源：
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2022年 / 63卷 / 02期
关键词：
Fractional operators; fractional L-s-Hormander's condition; sharp weights inequalities; sparse operators;
D O I：
10.33044/revuma.2211
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide the sharp bound for a fractional type operator given by a kernel satisfying the L-alpha,L-s-Hormander condition and certain fractional size condition, 0 < alpha < n and 1 < s <= infinity. In order to prove this result we use a new appropriate sparse domination. Examples of these operators include the fractional rough operators. For the case s = infinity we recover the sharp bound of the fractional integral, I-alpha, proved by Lacey et al. [J. Functional Anal. 259 (2010), no. 5, 1073-1097].
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页码：425 / 442
页数：18
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