This work demonstrates noncommutative maximal estimates for spherical means, extending earlier findings and providing new inequalities.
We establish the noncommutative restricted weak-type endpoint maximal estimates for both the continuous and the discrete spherical means, extending results of Bourgain (1985) and Ionescu (2004) to the noncommutative setting. As an application, we obtain the noncommutative restricted weak-type maximal ergodic inequalities for spherical averages, which were the natural questions left open after Chen and Hong (2024) and Hong (2013).
No takes yet. Share an insight, caveat, or question.
Hong et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: