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Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness

✍ Scribed by António M. Caetano; Hans-Gerd Leopold

Publisher
SP Birkhäuser Verlag Boston
Year
2006
Tongue
English
Weight
213 KB
Volume
12
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES

Local growth envelopes of spaces of gene
Local growth envelopes of spaces of generalized smoothness: the subcriticalcase
✍ António M. Caetano; Susana D. Moura 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB

## Abstract The concept of local growth envelope (ℰ~LG~__A, u__) of the quasi‐normed function space __A__ is applied to the spaces of generalized smoothness __B__^(__s__,ψ)^ ~__pq__~ (ℝ^__n__^) and __F__^(__s__,ψ)^~__pq__~ (ℝ^__n__^) and it is shown that the influence of the function ψ, which is a

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We study the boundedness of generalized Calderon᎐Zygmund operators acting ón Sobolev and, more generally, Triebel᎐Lizorkin spaces of arbitrary order of Ž ␥ . Ž ␥ . smoothness. We are able to relax the assumptions T x s 0 andror T \* x s 0, which have been required in earlier results by other authors