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SUMMARY:Morrey sequence spaces - Dorothee Haroske (Friedrich-Schiller-Univ
 ersität Jena)
DTSTART:20190325T110000Z
DTEND:20190325T120000Z
UID:TALK121981@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Morrey (function) spaces and\, in particular\, smoothness spac
 es of Besov-Morrey or Triebel-Lizorkin-Morrey type were studied in recent 
 years quite intensively and systematically. Decomposition methods like ato
 mic or wavelet characterisations require suitably adapted sequence spaces.
  This has been done to some extent already. However\, based on some discus
 sion at a conference in Poznan in 2017 we found that Morrey sequence space
 s $m_{u\,p}=m_{u\,p}(\\mathbb{Z}^d)$\, $0<span> We consider some basic fea
 tures\, embedding properties\, a pre-dual\, a corresponding version of Pit
 t&#39\;s compactness theorem\, and can further characterise the compactnes
 s of embeddings of related finite dimensional spaces in terms of their ent
 ropy numbers.<br> This is joint work with Leszek Skrzypczak (Poznan).</spa
 n>
LOCATION:Seminar Room 2\, Newton Institute
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