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UID:20260904T014108EDT-5768twxaNU@132.216.98.100
DTSTAMP:20260904T054108Z
DESCRIPTION:Title: The operator norm of paraproductson bi-parameter Hardy s
 paces\n\nAbstract: In this talk\, we discuss recent work on the operator n
 orm of paraproducts on bi-parameter Hardy spaces.\n\nA paraproduct is a bi
 linear form arising from the product of two functions\, both expanded in e
 ither a wavelet basis\, such as the Haar\, or in Littlewood-Paley pieces. 
 In the one-parameter theory\, the frequency interactions in the product of
  two functions are divided into either low-low\, low-high\, or high-low in
 teractions\, and each gives rise to a bilinear form called a one-parameter
  paraproduct. Some of these forms behave much better than the product itse
 lf\, and for them\, Hölder’s inequality holds for the full range of expone
 nts\, provided that the Lebesgue spaces are replaced by Hardy spaces and t
 he space of bounded functions is replaced by functions of bounded mean osc
 illation. Similar results hold for any number of parameters as well.\n\nIn
  our recent work\, it is shown that for all positive values of p\, q\, and
  r with 1/q=1/p+1/r\, the operator norm of the dyadic paraproduct π_g from
  the bi-parameter dyadic Hardy space H^p_d to H^q_d is comparable to ∥g∥_{
 H^r_d}. In addition\, similar results are obtained for bi-parameter Fourie
 r paraproducts of the same form.\n\nJoin Zoom Meeting\n\nhttps://concordia
 -ca.zoom.us/j/83210406732?pwd=en8tvgzKVcul30C4kiXqrEHRA5VaHO.1\n\nMeeting 
 ID: 832 1040 6732\n\nPasscode: 031132\n\nWhere: Concordia\, room LB 921-4
 \n\n \n
DTSTART:20240927T133000Z
DTEND:20240927T143000Z
SUMMARY:Shahab Shaabani (Concordia)
URL:https://www.mcgill.ca/mathstat/channels/event/shahab-shaabani-concordia
 -359902
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