Growth envelopes of Besov spaces on fractal h-sets


  • Dedicated to Professor Hans Triebel on the occasion of his 75th birthday


Under appropriate conditions, we determine the growth envelopes of Besov spaces on so-called h-sets. In the way we clarify what should in general be meant by such Besov spaces and establish some elementary embeddings. Actually, we are even able to give an optimal necessary condition for one of such embeddings as a by-product of the proof of the growth envelope result.