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SUMMARY:A weighted Riesz–Kolmogorov criterion and multilinear extrapolat
 ion of compactness on variable Lebesgue spaces
DTSTART:20261106T131500Z
DTEND:20261106T141500Z
DTSTAMP:20261102T000500Z
UID:indico-event-1734@math-events.uni-bonn.de
DESCRIPTION:Speakers: Stefanos Lappas (Mathematical Institute\, University
  of Bonn)\n\nWe present a weighted Riesz–Kolmogorov criterion for relati
 vely compact sets in variable Lebesgue spaces $L^{p(\\cdot)}(w)$. Using th
 is criterion\, we prove a multilinear extrapolation principle for compactn
 ess. More precisely\, we show that if an $m$-linear operator is bounded on
  weighted variable Lebesgue spaces for all multilinear variable Muckenhoup
 t weights and compact for a single choice of exponents and weights\, then 
 it is compact for all admissible variable exponents and weights. As applic
 ations\, we obtain new compactness results for commutators of multilinear 
 $\\omega$-Calderón–Zygmund operators\, multilinear fractional integrals
  and multilinear Fourier multipliers. This talk is based on joint work wit
 h S. Kakaroumpas.\n\nhttps://math-events.uni-bonn.de/event/1734/
LOCATION:Endenicher Allee 60\, Seminarraum 0.011 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1734/
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