Cobos Díaz, FernandoKuehn, ThomasPeetre, Jaak2023-06-202023-06-2019990024-610710.1112/S0024610799007504https://hdl.handle.net/20.500.14352/57244In a previous paper, the authors laid the foundations of a theory of Schatten±von Neumann classes 'p (0!p%¢) of trilinear forms in Hilbert space. This paper continues that research. In the n-dimensional case, it is shown that the best constant d# that relates the Hilbert±Schmidt norm of a form with its bounded norm behaves like n. Some results are also obtained in the quasi-Banach case (0!p!1), and for twobounded forms. Finally, the domination problem is investigated in the trilinear set-up.engjournal articlehttps//doi.org/10.1112/S0024610799007504http://jlms.oxfordjournals.org/content/59/3/1003.full.pdf+htmlrestricted access517.98Two-boundednessDominationSchatten-von Neumann classesTrilinear formsQuasi-Banach caseAnálisis funcional y teoría de operadores