Anisotropic Two-Microlocal Spaces and Regularity
We define D-u-anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on any D-u-anisotropic wavelet basis of L2(Rd). We prove that these spaces allow the characterizing of pointwise anisotropic Hölder regularity. We also prove an anisotropic wavelet criterion for a...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/505796 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We define D-u-anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on any D-u-anisotropic wavelet basis of L2(Rd). We prove that these spaces allow the characterizing of pointwise anisotropic Hölder regularity. We also prove an anisotropic wavelet criterion for anisotropic uniform regularity. We finally prove that both this criterion and anisotropic D-u-two-microlocal spaces are independent of the chosen anisotropic D-u-orthonormal wavelet basis. |
|---|---|
| ISSN: | 2314-8896 2314-8888 |