A method for memory space management in a multitasking capable data processing system including a data processing device and software running thereon. The data processing device includes at least one central processing unit (CPU) and at least one user memory, and the software running on the CPU includes a first computer program application and at least a second computer program application which respectively jointly access the user memory used by both computer program applications during execution. Information of the first computer program application is stored in at least a portion of the memory space of the user memory in a temporary manner, and the integrity of the contents memory space is checked after interrupting the execution of the first computer program application. The first computer program application is only executed further when the memory integrity is confirmed through the checking or when the memory integrity has been reestablished.