CERTAIN FRACTIONAL TYPE OPERATORS WITH HORMANDER CONDITIONS

被引：6
|
作者：
Ibanez Firnkorn, Gonzalo H. [1 ]
Silvina Riveros, Maria [1 ]
机构：
[1] Univ Nacl Cordoba, CONICET, CIEM, FaMAF, RA-5000 Cordoba, Argentina
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2018年 / 43卷
关键词：
Fractional operators; Hormander's condition of Young type; weights inequalities; INTEGRAL-OPERATORS; WEIGHTED INEQUALITIES; MAXIMAL FUNCTIONS; EXTRAPOLATION; BOUNDEDNESS; KERNELS;
D O I：
10.5186/aasfm.2018.4353
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study fractional type operators with more than one kernel, defined by T(alpha,m)f(x) = integral(Rn )k(1)(x - A(1y))k(2)(x - A(2y)) ... k(m)(x - A(my)) f(y)dy, where, for 1 <= i <= m, each k(i) satisfies a fractional size condition and generalized fractional Hormander condition, and A(i) are invertibles matrices. We obtain weighted Coifman type estimates, strong and weak type inequalities and BMO estimates for this operator. We also present some examples different from those in the literature.
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页码：913 / 929
页数：17
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