A theorem on weak type estimates for Riesz transforms and martingale transforms
نویسندگان
چکیده
منابع مشابه
Riesz transforms on groups of Heisenberg type
The aim of this article is to prove the following theorem. Theorem: Let p be in (1,∞), Hn,m a group of Heisenberg type, R the vector of the Riesz transforms on Hn,m. There exists a constant Cp independent of n and m such that for every f ∈ L (Hn,m) C p e ‖f‖Lp(Hn,m) ≤ ‖|Rf |‖Lp(Hn,m) ≤ Cpe‖f‖Lp(Hn,m). It has been proved by F. Lust-Piquard that the operator norm of R does not depend on n (see [L...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1981
ISSN: 0373-0956
DOI: 10.5802/aif.826