A dichotomy property for locally compact groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.03.013
Abstract: We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which… read more here.
Keywords: dichotomy property; locally compact; property locally; compact group ... See more keywords
DICHOTOMY PROPERTY FOR MAXIMAL OPERATORS IN A NONDOUBLING SETTING
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s000497271800120x
Abstract: We investigate a dichotomy property for Hardy–Littlewood maximal operators, noncentred $M$ and centred $M^{c}$ , that was noticed by Bennett et al. [‘Weak- $L^{\infty }$ and BMO’, Ann. of Math. (2) 113 (1981), 601–611]. We… read more here.
Keywords: dichotomy property; property; unicode stix; maximal operators ... See more keywords