Local real analysis in locally homogeneous spaces
  We introduce the concept of locally homogeneous space, and prove in this context L^p and Holder estimates for singular and fractional integrals, as well as L^p estimates on the commutator of a singular or fractional integral with a BMO or VMO function. These results are motivated by local a-priori estimates for subelliptic equations. 
Marco Bramanti and Maochun Zhu
math.FA math.AP