Sobolev Spaces on Quasi-Kähler Complex Varieties.

If V is an irreducible quasi-Kähler complex variety and E is a vector bundle over reg(V), the author proves that W01,2(reg(V), E) = W1,2(reg(V), E), and that for dimℂ reg(V) > 1, the natural inclusion W1,2(reg(V), E) ↪ L2(reg(V), E) is compact, the natural inclusion W 1 , 2 (reg (V) , E) ↪ L 2 v v − 1 (reg (V) , E) is continuous. [ABSTRACT FROM AUTHOR]