Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by $A_{\infty }$-type weights

Carme Cascante, Joan Fàbrega, José A. Peláez

We obtain Littlewood-Paley formulas for Fock spaces ${\mathcal{F}}_{\beta ,\omega }^q$ induced by weights $\omega \in A_{\infty }^{restricted}={\cup }_{1\le p<\infty }{A}_p^{restricted}$, where $A^{restrict…