Estimations of directional Holder regularity by shearlets

被引：1

作者：

Hu Lin ^{[1
,2
]}

Liu YouMing ^{[1
]}

机构：

[1] Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

[2] Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2015年 / 58卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Holder space; shearlet; directional regularity; OPTIMALLY SPARSE; FRAMES; REPRESENTATION; SINGULARITY; TRANSFORMS; SPACES;

D O I：

10.1007/s11425-014-4944-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies directional Holder 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 Holder regularity and the corresponding sufficient conditions, motivated by the work of Sampo and Sumetkijakan (2009) and Lakhonchai et al. (2010).

引用

页码：791 / 812

页数：22

共 18 条

[1] Estimations of directional Hlder regularity by shearlets
HU Lin
LIU YouMing
ScienceChina(Mathematics), 2015, 58 (04) : 791 - 812
[2] Estimations of directional Hölder regularity by shearlets
Lin Hu
YouMing Liu
Science China Mathematics, 2015, 58 : 791 - 812
[3] Directional regularity and metric regularity
Arutyunov, Aram V.
Avakov, Evgeniy R.
Izmailov, Alexey F.
SIAM JOURNAL ON OPTIMIZATION, 2007, 18 (03) : 810 - 833
[4] ON GROUPS OF HOLDER DIFFEOMORPHISMS AND THEIR REGULARITY
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (08) : 5761 - 5794
[5] On the Stability of the Directional Regularity
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Set-Valued and Variational Analysis, 2020, 28 : 209 - 237
[6] On the Stability of the Directional Regularity
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SET-VALUED AND VARIATIONAL ANALYSIS, 2020, 28 (02) : 209 - 237
[7] Directional stability theorem and directional metric regularity
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MATHEMATICS OF OPERATIONS RESEARCH, 2006, 31 (03) : 526 - 543
[8] Estimations of Holder Regularities and Direction of Singularity by Hart Smith and Curvelet Transforms
Sampo, Jouni
Sumetkijakan, Songkiat
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2009, 15 (01) : 58 - 79
[9] Holder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group
Zhang, Junli
Niu, Pengcheng
JOURNAL OF FUNCTION SPACES, 2020, 2020
[10] Holder regularity for the gradients of solutions of the strong p(x)-Laplacian
Zhang, Chao
Zhou, Shulin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (02) : 1066 - 1077

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