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SUMMARY:A sharp BMO-BLO bound for the martingale maximal function
DTSTART;VALUE=DATE-TIME:20210702T133000Z
DTEND;VALUE=DATE-TIME:20210702T140000Z
DTSTAMP;VALUE=DATE-TIME:20260510T173107Z
UID:indico-contribution-232@indico.eimi.ru
DESCRIPTION:Speakers: Leonid Slavin (University of Cincinnati)\nWe constru
 ct the exact Bellman function for the BMO-BLO action of the natural martin
 gale maximal function for continuous-time martingales. (BLO stands for "bo
 unded lower oscillation"\; the natural maximal function is the one without
  the absolute value in the average). As consequences\, we show that the BM
 O-BLO norm of the operator is 1 and also obtain a sharp weak-type inequali
 ty\, which can be integrated to produce a broad range of sharp phi-estimat
 es.\n\nIn an earlier work we found the corresponding Bellman function for 
 alpha-regular discrete-time martingales\, including the dyadic martingale.
  I will discuss the essential differences between the two cases. This is j
 oint work with Adam Osekowski and Vasily Vasyunin.\n\nhttps://indico.eimi.
 ru/event/321/contributions/232/
LOCATION:
URL:https://indico.eimi.ru/event/321/contributions/232/
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