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A geometric approach to the Littlewood–Paley theory

✍ Scribed by S. Klainerman; I. Rodnianski


Publisher
Springer
Year
2006
Tongue
English
Weight
887 KB
Volume
16
Category
Article
ISSN
1016-443X

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Littlewood–Paley Theory and the T(1) The
✍ Xavier Tolsa 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 348 KB

Let m be a Radon measure on R d which may be non-doubling. The only condition that m must satisfy is m(B(x, r)) [ Cr n , for all x ¥ R d , r > 0, and for some fixed 0 < n [ d. In this paper, Littlewood-Paley theory for functions in L p (m) is developed. One of the main difficulties to be solved is t