Docker uses virtualization techniques like namespaces and cgroups to isolate processes and share resources efficiently across multiple Linux containers. Namespaces allow processes to have isolated views of various systems like networking and process IDs. Cgroups limit and account for resource usage like CPU and memory. AuFS implements a union filesystem to overlay container filesystem changes over read-only base images. Docker combines these technologies into lightweight Linux containers that package code and dependencies to run reliably across environments.