Few studies have investigated and proposed a middleware solution for the Internet of Mobile Things (IoMT), where the smart things (Smart Objects) can be moved, or else can move autonomously, but remain accessible from any other computer over the Internet. In this context, there is a need for energy-efficient gateways to provide connectivity to a great variety of Smart Objects. Proposed solutions have shown that mobile devices (smartphones and tablets) are a good option to become the universal intermediates by providing a connection point to nearby Smart Objects with short-range communication technologies. However, they only focus on the transmission of raw sensor data (obtained from connected Smart Objects) to the cloud where processing (e.g. aggregation) is performed. Internet Communication is a strong battery-draining activity for mobile devices; moreover, bandwidth may not be sufficient when large amounts of information is being received from the Smart Objects. Hence, we argue that some of the processing should be pushed as close as possible to the sources. In this regard, Complex Event Processing (CEP) is often used for real-time processing of heterogeneous data and could be a key technology to be included in the gateways. It allows a way to describe the processing as expressive queries that can be dynamically deployed or removed on-the- fly. Thus, being suitable for applications that have to deal with dynamic adaptation of local processing. This dissertation describes an extension of a mobile middleware with the inclusion of continuous processing of sensor data, its design and prototype implementation for Android. Experiments have shown that our implementation delivers good reduction in energy and bandwidth consumption.