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Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. (English) Zbl 1122.46017
The concept of local growth envelope of a quasi-normed function space is applied to the spaces of Triebel–Lizorkin type of generalized smoothness. In order to achieve this, a standardization result for these and the corresponding Besov spaces is derived.

MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
42B35 Function spaces arising in harmonic analysis
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