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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/505796 |
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| _version_ | 1849435056006758400 |
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| author | Mourad Ben Slimane |
| author_facet | Mourad Ben Slimane |
| author_sort | Mourad Ben Slimane |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dfbe4d7a8db94a9d8bc196f80149e37b |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dfbe4d7a8db94a9d8bc196f80149e37b2025-08-20T03:26:25ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/505796505796Anisotropic Two-Microlocal Spaces and RegularityMourad Ben Slimane0Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2014/505796 |
| spellingShingle | Mourad Ben Slimane Anisotropic Two-Microlocal Spaces and Regularity Journal of Function Spaces |
| title | Anisotropic Two-Microlocal Spaces and Regularity |
| title_full | Anisotropic Two-Microlocal Spaces and Regularity |
| title_fullStr | Anisotropic Two-Microlocal Spaces and Regularity |
| title_full_unstemmed | Anisotropic Two-Microlocal Spaces and Regularity |
| title_short | Anisotropic Two-Microlocal Spaces and Regularity |
| title_sort | anisotropic two microlocal spaces and regularity |
| url | http://dx.doi.org/10.1155/2014/505796 |
| work_keys_str_mv | AT mouradbenslimane anisotropictwomicrolocalspacesandregularity |