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/