A heart valve system, the system including a radially self-expandable tubular body, a valve, and a tubular fabric. The tubular body having an inflow end and an outflow end. The valve being coupled to the tubular body and including a plurality of valve leaflets. The fabric being disposed on an outer surface of the tubular body, and the fabric having an inflow end and an outflow end, Furthermore, the outflow end of the fabric being directly connected to an outer circumferential edge of the valve.