Title
Domains with globally exponentially integrable parabolic forward-in-time BMO
Abstract
The John-Nirenberg inequality from the 60’s states the local exponential interability of functions of bounded mean oscillation (BMO) on balls. The question of global exponential integrability was settled by Smith and Stegenga in the 90’s; a domain has globally exponentially integrable BMO if and only if the domain satisfies the quasihyperbolic boundary condition. In this talk, I discuss our recent characterization of those domains of the space time with (forward-in-time) globally exponentially integrable parabolic (forward-in-time) BMO. Based on joint work with Kim Myyryläinen and Olli Saari.
