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SUMMARY:Nathan Wagner (George Mason University)
DTSTART:20251118T190000Z
DTEND:20251118T200000Z
DTSTAMP:20260423T005711Z
UID:OARS/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/75/">Op
 timal Sparse Bounds and Commutator Characterizations Without Doubling</a>\
 nby Nathan Wagner (George Mason University) as part of OARS Online Analysi
 s Research Seminar\n\n\nAbstract\nWe examine dyadic paraproducts and commu
 tators in the non-homogeneous setting\, where the underlying Borel measure
  $\\mu$ is not assumed doubling. We first establish a pointwise sparse dom
 ination for dyadic paraproducts and related operators with symbols $b \\in
  BMO(\\mu)$\, improving upon a result of Lacey\, where $b$ satisfied a str
 onger Carleson-type condition coinciding with BMO only in the doubling cas
 e. As an application\, we derive sharpened weighted inequalities for the c
 ommutator of a dyadic Hilbert transform H previously studied by Borges\, C
 onde Alonso\, Pipher\, and Wagner. We also characterize the symbols for wh
 ich $[H\,b]$ is bounded on $L^p$ for $1<p<\\infty$\, and provide examples 
 showing that this symbol class lies strictly between those satisfying the 
 $p$-Carleson packing condition and those belonging to martingale BMO. This
  talk is based on joint work with Francesco D'Emilio\, Yongxi Lin\, and Br
 ett D. Wick.\n
LOCATION:https://researchseminars.org/talk/OARS/75/
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