The subject of this procedure for the supply of real estate properties, settlements or other spatially far distributed individual customers with warmth is the heat production in a central plant and the low-loss transport of this warmth and their distribution on the individual quality control points. During conventional heat supply with temporally continuous supply of the momentarily needed thermal output the portion of the calorific losses increases at the warmth fed into the net with more largely becoming distance to the quality control points and with smaller becoming purchased quantity. This portion would accept so high extents in many cases that a central heat production and their transport cannot be justified by means of expanded pipelines for energetic, ecological and economical reasons. In contrast to this the demand places itself increasingly after heat production by means of sources of energy from renewable sources or by means of force heat coupling, which often only in central heat generating devices (1) is possible. In the newer legal regulations, e.g. in renewable energies the heat law EEW?rmeG, contained requirements can be fulfilled from there extent very limited by small or also spatially far distributed customers only to. The procedure suggested here solves this problem by a delimitation of the enterprise of the warm-prominent pipelines on shortest possible operating lasting. This made possible by periodic short-time duty with high thermal output and storage of the warmth in the customer places (2) in heat accumulators (3). These are called ?satellite memory”.