Local real analysis in locally homogeneous spaces

Details Local real analysis in locally homogeneous spaces Local real analysis in locally homogeneous spaces

2011-01-28

arxiv.org/abs/1101.5561v1

Mathematics

Functional Analysis

Scientific paper

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.

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