Revistes Catalanes amb Accés Obert (RACO)

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

D. Fan, S. Lu, D. Yang

Resum


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.

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