Which AWS service or feature can be used to meet these requirements?

Explanations:

AWS Local Zones extend AWS infrastructure closer to large population centers but do not guarantee that data remains local and on-premises, as they are still part of the AWS cloud.

Availability Zones are isolated locations within a region but do not provide local data storage or comply with on-premises data regulations, as they still rely on AWS infrastructure.

AWS Outposts allows customers to run AWS services locally on their own hardware while keeping data on-premises, meeting regulatory requirements and providing low latency for hybrid applications.

AWS Wavelength is designed for ultra-low latency applications that utilize 5G networks but does not meet the requirement of keeping data on-premises, as it still relies on edge locations in the AWS cloud.