WEIGHTED EXTRAPOLATION IN MIXED NORM FUNCTION SPACES

被引:0
|
作者
Kokilashvili, Vakhtang [1 ]
Meskhi, Alexander [1 ,2 ]
机构
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0186 Tbilisi, Georgia
[2] Kutaisi Int Univ, Youth Ave,5th Lane, GE-4600 Kutaisi, Georgia
基金
美国国家科学基金会;
关键词
Weighted extrapolation; Muckenhoupt's weights; Multiple operators; Banach function spaces; Mixed norm function spaces; Mixed norm grand Lebesgue spaces; LEBESGUE SPACES; GRAND;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Rubio de Francia's weighted extrapolation results for pairs of functions in mixed-norm Banach function spaces defined on the product of quasi-metric measure spaces are obtained. As a consequence, we formulate appropriate results for the mixed-norm Lebesgue, Lorentz, Orlicz and grand Lebesgue spaces. Here we treat only the weighted extrapolation in grand Lebesgue spaces with mixed norms.
引用
收藏
页码:287 / 291
页数:5
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