Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness

Autor: António M. Caetano, Hans-Gerd Leopold
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