Analysis reveals conditions for exponential integrability in parabolic BMO functions, suggesting domain connectivity's critical role.
We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characterization holds under qualitative connectivity assumptions on the domain and is formulated in terms of a quantitative growth bound on a forward-in-time version of the classical quasihyperbolic distance.
No takes yet. Share an insight, caveat, or question.
Myyryläinen et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: