Title: Domains with globally exponentially integrable parabolic BMO (starts 9.00 sharp)
Abstract: The well-known John-Nirenberg inequality states that functions of bounded mean oscillation (BMO) are locally exponentially integrable. Furthermore, it is known that BMO functions are globally exponentially integrable in a domain if and only if the domain satisfies the quasihyperbolic boundary condition. In this talk, we discuss a generalization of this result to the parabolic forward-in-time context motivated by a doubly nonlinear equation. We give a characterization of domains in the space time in which parabolic forward-in-time BMO functions are in a forward-in-time exponential integrability class. Based on a joint work with T. Oikari and O. Saari.
