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Morrey sequence spaces

Presented by: 
Dorothee Haroske Friedrich-Schiller-Universität Jena
Monday 25th March 2019 - 11:00 to 12:00
INI Seminar Room 2
Morrey (function) spaces and, in particular, smoothness spaces of Besov-Morrey or Triebel-Lizorkin-Morrey type were studied in recent years quite intensively and systematically. Decomposition methods like atomic or wavelet characterisations require suitably adapted sequence spaces. This has been done to some extent already. However, based on some discussion at a conference in Poznan in 2017 we found that Morrey sequence spaces $m_{u,p}=m_{u,p}(\mathbb{Z}^d)$, $0 We consider some basic features, embedding properties, a pre-dual, a corresponding version of Pitt's compactness theorem, and can further characterise the compactness of embeddings of related finite dimensional spaces in terms of their entropy numbers.
This is joint work with Leszek Skrzypczak (Poznan).
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons