Parabolic BMO Spaces, Muckenhoupt Weights, and Reverse Hölder Classes with Time Lag: Equivalence and Characterizations

Weiyi Kong, Dachun Yang, Wen Yuan

For any given time lag $\gamma \in (0,1)$, we prove that the one-sided parabolic BMO space ${\mathrm{BMO}}^{+}(\gamma )$ coincides with the parabolic BMO space ${\mathrm{PBMO}}^{-}(\gamma )$ with equivalent…