The technology that supports the development of mobile applications includes various programming languages and development frameworks. Common languages like Java and Kotlin are used for Android apps, while Swift or Objective-C is used for iOS apps. Additionally, frameworks like React Native, Flutter, and Xamarin allow for cross-platform app development, enabling developers to create apps that can run on both platforms from a single codebase. These technologies facilitate rapid prototyping, user interface design, and integration with various APIs.