>Iya Ivanishko (Belarussian State University)
Sobolev type spaces on spaces of homogeneous type: different descriptions
and embedding theorems
Abstract.
We consider the scale of Sobolev type spaces W_eta^p on metric spaces,
that depends on the modulus of continuity eta and p > 1. We give different
descriptions for these spaces. In case eta(t)=t^s common descriptions were
given by D. Yang. Also we obtain for these spaces embedding theorem of
Sobolev type, which extends the result of V. Kolyada onto spaces of
homogeneous type.
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