Bing-Wei Zhang

A Sharp Sobolev Inequality on Compact CR Manifolds

For any \(n\geq 1\), let \((M,\theta)\) be a compact strictly pseudoconvex hypersurface type CR manifold with dimension \(2n+1\), \(Q=2n+2\) be its homogeneous dimension. We prove the sharp Folland--Stein Sobolev inequality on \(M\): if \(Q^*=2Q/(Q-2)\), then there exists a constant \(A>0\), depending only on \((M,\the...