Exponential-square integrability, weighted inequalities for the square functions associated to operators and applications

Peng Chen, Xuan Thinh Duong, Liangchuan Wu +1

Let $X$ be a metric space with a doubling measure. Let $L$ be a nonnegative self-adjoint operator acting on $L^2(X)$, hence $L$ generates an analytic semigroup $e^{-tL}$. Assume th…