Estimations of directional Hlder regularity by shearlets  

作　　者：HU Lin LIU YouMing 

机构地区：[1]Department of Applied Mathematics, Beijing University of Technology [2]Department of Basic Courses, Beijing Union University

出　　处：《Science China Mathematics》2015年第4期791-812,共22页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11271038)

摘　　要：This paper studies directional Hlder regularity of two-variable functions by their shearlet coefficients, where the shearlets are defined by Guo and Labate(2013). We provide necessary conditions for a function possessing some directional H¨older regularity and the corresponding sufficient conditions, motivated by the work of Sampo and Sumetkijakan(2009) and Lakhonchai et al.(2010).This paper studies directional Hlder regularity of two-variable functions by their shearlet coefficients, where the shearlets are defined by Guo and Labate（2013）. We provide necessary conditions for a function possessing some directional H¨older regularity and the corresponding sufficient conditions, motivated by the work of Sampo and Sumetkijakan（2009） and Lakhonchai et al.（2010）.

关 键 词：Holder space shearlet directional regularity 

分 类 号：O212.1[理学—概率论与数理统计] U664.1[理学—数学]