$L^2$-norm and estimates from below for Riesz transforms on Cantor sets
$L^2$-norm and estimates from below for Riesz transforms on Cantor sets
The aim of this paper is to estimate the $L^2$-norms of vector-valued Riesz transforms $R_{\nu}^s$ and the norms of Riesz operators on Cantor sets in $\R^d$, as well as to study the distribution of values of $R_{\nu}^s$. Namely, we show that this distribution is uniform in the following sense. The …