Compare with the result on the sphere in [1] or the torus in [2]. Is the result (0x68e8b15f) optimal in any sense?

References Link to heading

1. A. Dicke and I. Veselic, Spherical Logvinenko-Sereda-Kovrijkine type inequality and null-controllability of the heat equation on the sphere, 2024. doi:10.48550/arXiv.2207.01369
2. M. Egidi and I. Veselić, Scale-free Unique Continuation Estimates and Logvinenko–Sereda Theorems on the Torus, Annales Henri Poincaré, vol. 21, no. 12, p. 3757–3790, 2020. doi:10.1007/s00023-020-00957-7