A diode logic level step-up circuit. From Microchip app note DS41285A (PDF). For stepping up from 3.3V logic to 5V logic and assuming you are not safely within the TTL thresholds as described ...
The bootstrap capacitor Cvcc2 needs to be charged from the low-side driver supply (across Cvcc4) via diode Db1, which could easily drop over a volt. In detail, the question was: how can both gates be ...