We show that if a decreasing sequence of subharmonic functions converges to a function in then the convergence is in .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-4, author = {Urban Cegrell}, title = {The gradient lemma}, journal = {Annales Polonici Mathematici}, volume = {92}, year = {2007}, pages = {143-146}, zbl = {1122.32020}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-4} }
Urban Cegrell. The gradient lemma. Annales Polonici Mathematici, Tome 92 (2007) pp. 143-146. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-4/