Spectra of Integration Operators and Weighted Square Functions
Motivated by the study of the spectrum of integration operators T(g)f(z) = integral(z)(0) f(xi)g'(xi) d xi, acting on the Hardy spaces H-p, we prove weighted versions of the classical estimates due to Fefferman-Stein and Littlewood-Paley which express the H-p-norm of an analytic function with help of its derivative.