Instruction: Answer the given question by extracting information from the supporting document.

Input:
Question: Does the Power O.I.S. in this lens work with a BMPCC?
Document: I bought this 14-42mm compact mid-range (28-84mm-equivalent in 35mm fill-frame terms) power-zoom lens to accompany my 45-175mm power-zoom for video work - and both lenses zoom using the G5 and G6 on-body zoom levers, with zooming speed controlled by that plus a "Low/Medium/High" selection in the menus. Performance (in my particular sample) is quite good, with very good sharpness to the corners throughout its zoom range by f8.
This is a very nice lens that did not work well for me. I ordered it with a Lumix GX1 and that combination produced some very disappointing results that required me to return both products. If I get a G5 in the near future, I would probably order this lens again because it is a compelling compact design. It is a relatively slow lens though, so it's compactness is its primary value.
However it's difficult to get an exact focal length because I keep overshooting or undershooting. I don't really like the power zoom at all. One of the main advantages of "real" cameras is that the zooms are real manual zooms.
I got this lens as part of a Lumix GF3 camera kit. I was really excited about it being easier to carry in my pocket. The power zoom and focus buttons are in an awkward spot making this lens somewhat a pain to use. Image quality is OK but nothing special. Seems like too many corners were cut to make this lens as small as possible. Finally, it's easy to lose the miniature lens cap.
Those are cheap and easily found in a variety of sizes.This Panasonic Lumix G X Vario 14-42mm lens is actually the H-PS14042 lens as described in the Lumix GF6 instruction manual. I was not absolutely certain of that until the lens arrived and I put it on my camera. It is a micro 4/3 lens that will probably fit a variety of cameras.I thought the price on this power zoom lens was about right and a good investment for expanding the potential of my camera.
I use this lens on my e-pm2. I also own, 14mm 2.5/f pancake, 20mm 1.7/f pancake and the 75mm 1.8/f lenses.I have been traveling a lot lately with work, and I wanted a general purpose lens I could take with me on my business trips. I got tired of the image quality of my advanced point and shoot camera and decided to carry my m4/3 rig with me instead.
I bought this lens with great reservation because of the negative reviews about its soft focus at mid range speeds. I have done no sophisticated testing but am very pleased with the quality of my images. The small size is remarkable and it makes my Panasonic GX1 a very versatile pocket camera which is why I bought the camera. I recomend the lens for its compactness for everyday use in good lighting conditions. Professional quality work will obviously require higher end lenses at higher end prices and size.
Lens is sharp; zoom and focus work very well. The design allows for a compact, pancake profile when the camera is off. The lens extends when powered up. The best solution if you want a four thirds camera with a nearly point and shoot footprint  (It's still a bit larger of course).
The function lever can be set to become the power zoom control while the lever's previous exposure compensation function is accessible on the monitor screen. There is a manual zoom right on the lens itself if one prefers to make the adjustment that way. Actually, my Lumix GR-6 can set the function lever to AUTO so the zoom can be adjusted on both the lens and on the function lever.The lens accepts a 37mm filter and that means the larger filters designed for the Lumix kit lens won't fit.
The OIS seems to work quite well and is handy in light of the F3.5-5.6 ASPH. Yeah, low light shooting may not be your cup of tea with this lens, but that's what the 20mm pancake will work better in. SO, why 4 stars instead of 5 for the PZ 14-42? Because 5 stars is essentially "perfect", this lens is not, and few lenses are.This is my walking around lens for my G3 now.
Answer: Since it is a M4/3, yes.