Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness
Autor: | António M. Caetano, Hans-Gerd Leopold |
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Rok vydání: | 2006 |
Předmět: | |
Zdroj: | Journal of Fourier Analysis and Applications. 12:427-445 |
ISSN: | 1531-5851 1069-5869 |
DOI: | 10.1007/s00041-006-6018-9 |
Popis: | The concept of local growth envelope $({\cal E}_{LG}A, u)$ of the quasi-normed function space $A$ is applied to the Triebel-Lizorkin spaces of generalized smoothness $F^{\sigma,N}_{p,q} ({\Bbb R}^n).$ In order to achieve this, a standardization result for these and corresponding Besov spaces is derived. |
Databáze: | OpenAIRE |
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