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Averages of functions over hypersurfaces in ℝn

✍ Scribed by Christopher D. Sogge; Elias M. Stein


Publisher
Springer-Verlag
Year
1985
Tongue
English
Weight
645 KB
Volume
82
Category
Article
ISSN
0020-9910

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Factorization of functions in H1(ℝn) and
✍ Yasuo Komori; Takahiro Takahiro 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB

## Abstract We prove a factorization theorem for functions in __H__ ^1^(ℝ^__n__^ ) using generalized Morrey spaces. As a corollary of our result we show that if the commutator of Coifman, Rochberg and Weiss [__b__ , __T__ ] is bounded on the generalized Morrey spaces, then __b__ is a __BMO__ functi