A DMCA Takedown is:
When content is removed from a website at the request of the owner of the content or the owner of the copyright of the content. It is a well established, accepted, internet standard followed by website owners and internet service providers.
Your right to process. Any owner of content has the right to process a takedown notice against a website owner and/or an Online Service Provider (e.g. ISP, hosting company etc.) if the content owner’s property is found online without their permission.