Local real analysis in locally homogeneous spaces
Abstract
We introduce the concept of locally homogeneous space, and prove in this context Lp and Holder estimates for singular and fractional integrals, as well as Lp 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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.