Shearlet coorbit spaces: traces and embeddings in higher dimensions

被引：19

作者：

Dahlke, Stephan ^{[1
]}

Haeuser, Soeren ^{[2
]}

Steidl, Gabriele ^{[2
]}

Teschke, Gerd ^{[3
]}

机构：

[1] Univ Marburg, Math & Informat FB12, D-35032 Marburg, Germany

[2] Tech Univ Kaiserslautern, Fachbereich Math, D-67663 Kaiserslautern, Germany

[3] Univ Appl Sci, Hsch Neubrandenburg, Inst Computat Math Sci & Technol, D-17033 Neubrandenburg, Germany

来源：

MONATSHEFTE FUR MATHEMATIK | 2013年 / 169卷 / 01期

关键词：

Coorbit space theory; Square-integrable group representations; Banach frames; Embedding of function spaces; Besov spaces; Trace theorems; INTEGRABLE GROUP-REPRESENTATIONS; ATOMIC DECOMPOSITIONS;

D O I：

10.1007/s00605-012-0408-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This papers examines structural properties of the recently developed shearlet coorbit spaces in higher dimensions. We prove embedding theorems for subspaces of shearlet coorbit spaces resembling shearlets on the cone in three dimensions into Besov spaces. The results are based on general atomic decompositions of Besov spaces. Furthermore, we establish trace results for these subspaces with respect to the coordinate planes. It turns out that in many cases these traces are contained in lower dimensional shearlet coorbit spaces.

引用

页码：15 / 32

页数：18

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