Resumen de Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces

Shan Zhen Lu, Dachun Yang, Dashan Fan

• In this paper, the authors introduce a kind of local Hardy spaces in $\Bbb R^n$ associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on $\Bbb R^2$. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper