For a sequence of linear maps defined on a Banach space with values in the space of measurable functions on a semifinite measure space, we examine the behavior of its maximal operator at zero.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-6, author = {Semyon Litvinov}, title = {On continuity at zero of the maximal operator for a semifinite measure}, journal = {Colloquium Mathematicae}, volume = {135}, year = {2014}, pages = {79-84}, zbl = {1294.28004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-6} }
Semyon Litvinov. On continuity at zero of the maximal operator for a semifinite measure. Colloquium Mathematicae, Tome 135 (2014) pp. 79-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-6/