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UID:8078@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150518T100000
DTEND;TZID=Europe/Paris:20150518T110000
DTSTAMP:20241120T210020Z
URL:https://www.i2m.univ-amu.fr/evenements/some-remarks-on-the-corona-theo
 rem/
SUMMARY:Sergei Kislyakov (PDMI RAS\, Saint Petersburg\, Russia): Some remar
 ks on the corona theorem
DESCRIPTION:Sergei Kislyakov: With the help of a fixed point theorem\, in 1
  it is shown that the so-called L-infinity- and L-p-corona problems are eq
 uivalent in the general situation. This equivalence extends to the case wh
 ere L-p is replaced by a more or less arbitrary Banach lattice of measurab
 le functions on the circle. In 2\, the corona theorem for l(2)-valued anal
 ytic functions is exploited to give a new proof for the existence of an an
 alytic partition of unity subordinate to a weight with logarithm in BMO. I
 n 3\, simple observations are presented that make it possible to pass from
  one sequence space to another in L-infinity-estimates for solutions of co
 rona problems.\nhttp://www.mathnet.ru/php/archive.phtml?wshow=paper&amp\;j
 rnid=aa&amp\;paperid=1278&amp\;option_lang=eng\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Sergei_kislyakov.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20150329T030000
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