2010/04/19 by Henri Martikainen · 1 citation
Mathematics · #math.FA #msc:42B20 #msc:30L99 #msc:46B09 #msc:46E40 #msc:60D05 #msc:60G46
published as Rev. Mat. Iberoamericana 28 (4) (2012) 961-998 · 31 pages
arxiv created 2010/04/19 · arxiv updated 2013/01/15
We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb theorem which is quite general with respect to both of them.