The perjury applies to claiming to represent a copyright holder you do not. It does not apply to "misidentifying" your own copyrighted work, sadly.
So if I claim to represent a copyright holder when I do not, I have committed perjury due to the DMCA. If I "misidentify" some work as my own, I have not. Yes, there's a separate requirement of good faith, but that's not at all like perjury.
Personally, I think the penalty for bad faith DMCA notices should be that one loses the copyright claimed to be infringed, but the law contains no such provision. The reason I think that is because it's the only penalty that would convince the kind of people who spew out bogus DMCA notices to clean up their act.
That part of the DMCA, sadly, doesn't exist. The only penalties it gives are for the infringement and for the failure to take content down when given a valid request.
There's nothing for false claims. In fact, I don't think there are any provisions for punishing fraudulent Copyright claims.
(f) Misrepresentations.— Any person who knowingly materially misrepresents under this section—
(1) that material or activity is infringing, or
(2) that material or activity was removed or disabled by mistake or misidentification,
shall be liable for any damages, including costs and attorneys’ fees, incurred by the alleged infringer, by any copyright owner or copyright owner’s authorized licensee, or by a service provider, who is injured by such misrepresentation, as the result of the service provider relying upon such misrepresentation in removing or disabling access to the material or activity claimed to be infringing, or in replacing the removed material or ceasing to disable access to it. [1]
