A component of an exhaust system for a combustion engine, particularly of a motor vehicle, has a hollow jacket at least partially surrounding the component. An intermediate space is surrounded by the walls of the hollow jacket and is closable in a pressure-tight manner. The intermediate space is fluidically connected to a vacuum generating device via a vacuum connection line and via a vacuum connection point of the component. With the vacuum generating device, a vacuum can be generated in the intermediate space. Through arrangement of a filler material, such as a support structure and/or of a fiber material and/or of a foam, in the intermediate space the stability of the hollow jacket can be improved.