Two-Level-Split Decomposition of Anisotropic Besov Spaces |
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| Authors: | Wolfgang Dahmen Shai Dekel Pencho Petrushev |
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| Institution: | (1) Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-Shi, Tokyo 192-0397, Japan |
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| Abstract: | Anisotropic Besov spaces (B-spaces) are developed based on anisotropic multilevel ellipsoid covers (dilations) of ℝ
n
. This extends earlier results on anisotropic Besov spaces. Furthermore, sequences of anisotropic bases are constructed and
utilized for two-level-split decompositions of the B-spaces and nonlinear m-term approximation. |
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| Keywords: | |
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