典型文献
GENERALIZED ORLICZ-TYPE SLICE SPACES,EXTRAPOLATION AND APPLICATIONS
文献摘要：
We introduce a class of generalized Orlicz-type Auscher-Mourgoglou slice space,which is a special case of the Wiener amalgam.We prove versions of the Rubio de Francia extrapolation theorem in this space.As a consequence,we obtain the boundedness results for several classical operators,such as the Calderón-Zygmund operator,the Marcinkiewicz integrals,the Bochner-Riesz means and the Riesz potential,as well as variational inequalities for differential operators and singular integrals.As an application,we obtain global regularity estimates for solutions of non-divergence elliptic equations on generalized Orlicz-type slice spaces if the coefficient matrix is symmetric,uniformly elliptic and has a small(δ,R)-BMO norm for some positive numbers δ and R.
文献关键词：
中图分类号：
作者姓名：
Songbai WANG
作者机构：
School of Mathematics and Statistics,Chongqing Three Gorges University,Chongqing 404100,China
文献出处：
引用格式：
[1]Songbai WANG-.GENERALIZED ORLICZ-TYPE SLICE SPACES,EXTRAPOLATION AND APPLICATIONS)[J].数学物理学报（英文版）,2022(05):2001-2024
A类：
GENERALIZED,ORLICZ,SLICE,SPACES,EXTRAPOLATION,Auscher,Mourgoglou,Rubio,Francia
B类：
TYPE,AND,APPLICATIONS,We,introduce,generalized,Orlicz,type,slice,which,special,case,Wiener,amalgam,prove,versions,extrapolation,theorem,this,consequence,obtain,boundedness,results,several,classical,operators,such,Calder,Zygmund,Marcinkiewicz,integrals,Bochner,Riesz,means,potential,well,variational,inequalities,differential,singular,application,global,regularity,estimates,solutions,divergence,elliptic,equations,spaces,coefficient,matrix,symmetric,uniformly,has,small,BMO,norm,some,positive,numbers
AB值：
0.563482
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