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TZID:Europe/Vienna
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DTSTART:20220327T030000
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BEGIN:VEVENT
DTSTAMP:20260424T140821Z
UID:1658416500@ist.ac.at
DTSTART:20220721T171500
DTEND:20220721T181500
DESCRIPTION:Speaker: Hao Zhang\nhosted by Jan Maas / Haonan Zhang\nAbstract
 : Recently\, Quanhua Xu has shown the optimal orders of the Littlewood-Pa
 ley-Stein inequality and raised the problem about the optimal orders of t
 he reverse Littlewood-Paley-Stein inequality. In a joint work with Zhendo
 ng Xu\, we solve one part of Xu's open problem. In this talk\, I will rec
 all the history and recent developments of the Littlewood-Paley-Stein theo
 ry. Then I will show our proof by using the Burkholder-Gundy inequality.
  Our argument is based on the construction of a special symmetric diffusi
 on semigroup associated with any given martingale such that its square fun
 ction for semigroups is pointwise comparable with its square function fo
 r martingales. Our method also extends to the vector-valued and noncommuta
 tive setting. 
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Hao Zhang: From the Littlewood-Paley-Stein inequality to the Burkho
 lder-Gundy inequality
URL:https://talks-calendar.ista.ac.at/events/3864
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