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Interpolating Sequences for Besov Spaces

✍ Scribed by Bjarte Böe

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
209 KB
Volume
192
Category
Article
ISSN
0022-1236

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✦ Synopsis

We characterise the interpolating sequences for the Besov spaces B p and for their multiplier spaces. We also construct linear operators of interpolation.

📜 SIMILAR VOLUMES

Interpolation properties of Besov spaces
Interpolation properties of Besov spaces defined on metric spaces
✍ Amiran Gogatishvili; Pekka Koskela; Nageswari Shanmugalingam 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

## Abstract Let __X__ = (__X__, __d__, __μ__)be a doubling metric measure space. For 0 < __α__ < 1, 1 ≤__p__, __q__ < ∞, we define semi‐norms equation image When __q__ = ∞ the usual change from integral to supremum is made in the definition. The Besov space __B~p, q~^α^__ (__X__) is the set of th