The invention relates to a multilayer film comprising the following sequence of layers: A) a polyolefin foam base layer containing 0.5 to 25 percent by weight of at least one nucleation agent; B) a layer based on at least one polyolefin of foam layer A); C) an optional polyolefin-based connecting layer; D) an optional bonding layer; E) an optional gas-tight and/or odor-proof barrier layer; F) a bonding layer; G) an optionally sealable and/or peelable surface layer. The total thickness of layers A) and B) ranges between 0.5 and 2 mm while the thickness of layer B) ranges between one sixth and one half of the thickness of layer A).