Yoshikazu Giga, Zhongyang Gu
Published 2020-11-24Version 1
We introduce various spaces of vector fields of bounded mean oscillation ($BMO$) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our $BMO$ vector fields. As a result zero extension of the normal component stays in $BMO$ although such property may not hold for tangential components.
Bounded Mean Oscillation: an $\mathbb{R}$-Function with Multi-$\mathbb{K}_6$ Cubes. Dual of the Hardy Space $H^1$ and Banach Extent
Smirnov-decompositions of vector fields
Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
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