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Shearlet coorbit spaces: traces and embeddings in higher dimensions |
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| Authors: | Stephan Dahlke Sören Häuser Gabriele Steidl Gerd Teschke |
| Affiliation: | 1. FB12 Mathematik und Informatik, Philipps-Universit?t Marburg, Hans-Meerwein Stra?e, Lahnberge, 35032, Marburg, Germany 2. Fachbereich für Mathematik, Technische Universit?t Kaiserslautern, Paul-Ehrlich-Str. 31, 67663, Kaiserslautern, Germany 3. Institute for Computational Mathematics in Science and Technology, Hochschule Neubrandenburg, University of Applied Sciences, Brodaer Str. 2, 17033, Neubrandenburg, Germany |
| Abstract: | 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. |
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