Local real analysis in locally homogeneous spaces

Abstract

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.

References in corpus (1)

• H^1 and BMO for certain nondoubling metric measure spaces