Local real analysis in locally homogeneous spaces

2011/01/28 by Marco Bramanti, Maochun Zhu, Bramanti, Marco +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.AP #math.FA

paper · pdf · doi:10.48550/arxiv.1101.5561

arxiv created 2011/01/28 · openalex publication_date 2011/01/28 · arxiv updated 2011/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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