Let be a compact Abelian group, let be the corresponding Haar measure, and let be the Pontryagin dual of . Furthermore, let denote the Schatten class of operators on some separable infinite-dimensional Hilbert space, and let denote the corresponding Bochner space. If is the mapping belonging to , then If is a finite group, then the previous equations comprise several generalizations of Clarkson–McCarthy inequalities obtained earlier (e.g., or ), as well as the original inequalities, for . We also obtain other related inequalities.
"Continuous generalization of Clarkson–McCarthy inequalities." Banach J. Math. Anal. 13 (1) 26 - 46, January 2019. https://doi.org/10.1215/17358787-2018-0014