  The notion of tamed Dirichlet space by distributional lower Ricci curvature
bounds was proposed by Erbar, Rigoni, Sturm and Tamanini as the Dirichlet space
having a weak form of Bakry-\'Emery curvature lower bounds in distribution
sense. In this framework, we establish the Littlewood-Paley-Stein inequality
for $L^p$-functions and $L^p$-boundedness of $q$-Riesz transforms with $q>1$,
which partially generalizes the result by Kawabi-Miyokawa.
