There is no particular chain of movie theaters called Galleria that is owned by one specific person or corporation. The word Galleria shows up in the name of multiple movie theaters throughout the United States, none of which are related to any of the other locations with the word in their name.
Most of these theaters are owned by various members of the National Association of Theatre Owners. Members of this association include AMC Entertainment, Regal Entertainment Group, Cinemark Theatres and Carmike Cinemas. The word Galleria can be found in many of these companies locations names as well as smaller chains and privately owned theaters as well.