In this paper, the authors introduce a kind of local Hardy spaces in Rn 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 R2. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
@article{urn:eudml:doc:41353, title = {Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.}, journal = {Publicacions Matem\`atiques}, volume = {42}, year = {1998}, pages = {319-338}, mrnumber = {MR1676030}, zbl = {0935.42011}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41353} }
Fan, Dashan; Lu, Shanzhen; Yang, Dachun. Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.. Publicacions Matemàtiques, Tome 42 (1998) pp. 319-338. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41353/