Non-uniformly local tent spaces

2013/09/30 by Alex Amenta, Mikko Kemppainen, Mika Kemppainen
Chemistry · Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Business #Chemistry #Computer science #Data mining #Decomposition #Discrete mathematics #Epistemology #Geometric Analysis and Curvature Flows #Mathematics #Measure (data warehouse) #Metric (unit) #Metric space #Pure mathematics #Simple (philosophy) #Uniform continuity #math.CA #math.DG #math.FA #msc:42B35 #msc:58G30

paper · pdf · doi:10.5565/publmat_59115_09

published as Publ. Mat. 59(1):245-270, 2015 · 18 pages, revised version, to appear in Publicacions Matemàtiques

arxiv created 2014/06/05 · openalex publication_date 2015/01/01 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop a theory of 'non-uniformly local' tent spaces on metric measure spaces. As our main result, we give a remarkably simple proof of the atomic decomposition.

Citations

• A Course in Metric Geometry
• Some new function spaces and their applications to Harmonic analysis
• H¹ and BMO for certain locally doubling metric measure spaces of finite measure