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SUMMARY:The Haar System and Smoothness Spaces built on Morrey Spaces - Win
 fried Sickel (Friedrich-Schiller-Universität Jena)
DTSTART:20190219T090000Z
DTEND:20190219T093500Z
UID:TALK120010@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:For some Nikol&#39\;skij-Besov spaces $B^s_{p\,q}$ the orthono
 rmal Haar system can be used as an unconditional Schauder basis. Nowadays 
 necessary and sufficient conditions with respect to $p\,q$ and $s$ are kno
 wn for this property. In recent years in a number of papers some modificat
 ions of Nikol&#39\;skij-Besov spaces based on Morrey spaces have been inve
 stigated. In my talk I will concentrate on a version called Besov-type spa
 ces and denoted by $B^{s\,	au}_{p\,q}$. It will be my aim to discuss some 
 necessary and some sufficient conditions on the parameters $p\,q\,s\,	au$ 
 such that one can characterize these classes by means of the Haar system. 
 This is joined work with Dachun Yang and Wen Yuan (Beijing Normal Universi
 ty).
LOCATION:Seminar Room 1\, Newton Institute
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