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Zeitschrift für Analysis und ihre Anwendungen

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Volume 25, Issue 3, 2006, pp. 265–298
DOI: 10.4171/ZAA/1289

Published online: 2006-09-30

Local Growth Envelopes of Besov Spaces of Generalized Smoothness

António M. Caetano[1] and Walter Farkas[2]

(1) Universidade de Aveiro, Portugal
(2) University of Zurich, Switzerland

The concept of local growth envelope $(\mathcal{E}_{LG}A,u)$ of the quasi-normed function space $A$ is applied to the Besov spaces of generalized smoothness $B_{p,q}^{\sigma,N}(\mathbb{R}^n)$.

Keywords: Function space, generalized smoothness, atomic decomposition, growth envelope, sharp inequality, sharp embedding

Caetano António, Farkas Walter: Local Growth Envelopes of Besov Spaces of Generalized Smoothness. Z. Anal. Anwend. 25 (2006), 265-298. doi: 10.4171/ZAA/1289