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On the boundedness of the mapping f ↦ |f|μ, μ > 1 on Besov spaces

✍ Scribed by Djalil Kateb

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
258 KB
Volume
248-249
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Given μ > 1, 1 ≤ p≤¡∞, 1 ≤ q ≤ ∞, and 0 < s < μ + $ 1 \over p $, we show that the mapping F~μ~ : f ↦ |f|^μ^ maps the Besov pace B^s^~p,q~ (ℝ^n^) ∩ L^∞^(ℝ^n^) on itself.

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