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Endpoint Boundedness of Riesz Transforms on Hardy Spaces Associated with Operators
Riesz transform Davies-Gaffney estimate Schrodinger operator second order elliptic operator Hardy space
2011/9/21
Abstract: Let $L_1$ be a nonnegative self-adjoint operator in $L^2({\mathbb R}^n)$ satisfying the Davies-Gaffney estimates and $L_2$ a second order divergence form elliptic operator with complex bound...
$L^2$-norm and estimates from below for Riesz transforms on Cantor sets
$L^2$-norm estimates from below Riesz transforms Cantor sets
2011/1/18
The aim of this paper is to estimate the L2-norms of vector-valued Riesz trans-forms Rs
and the norms of Riesz operators on Cantor sets in Rd, as well as to study the distribution of values of Rs ...
Different Approaches to the Hp Boundedness of Riesz Transforms
Atomic decomposition Hardy spaces molecular characterization Riesz transforms
2008/11/25
We give different approaches to show the Hp boundedness of Riesz transforms for
0 < p ≤ 1.