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Some generalizations of the Littlewood-Paley theorem

✍ Scribed by N. A. Shirokov


Publisher
Springer US
Year
1977
Tongue
English
Weight
489 KB
Volume
8
Category
Article
ISSN
1573-8795

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Littlewood–Paley Theory and the T(1) The
✍ Xavier Tolsa πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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 Β₯ 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