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Paraproducts via $H^\infty$-functional calculus
paraproducts Davies-Gaffney estimates Hardy spaces Carlesonmeasures H1-functional calculus
2011/9/19
Abstract: Let $X$ be a space of homogeneous type and let $L$ be a sectorial operator with bounded holomorphic functional calculus on $L^2(X)$. We assume that the semigroup $\{e^{-tL}\}_{t>0}$ satisfie...
We generalize a family of variation norm estimates (Theorem 1.1) of L´epingle with endpoint estimates of Bourgain and Pisier-Xu to a family of variational estimates for paraproducts
(Theorem 1....