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SUMMARY:Some endpoint estimates for bilinear paraproducts and applications
  - Salvador Rodriguez-Lopez (Stockholm)
DTSTART:20151130T160000Z
DTEND:20151130T170000Z
UID:TALK62629@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:In this talk we will present some endpoint estimates for bilin
 ear\nparaproducts of Bony's type. That is\, operators of the form\n\\[\n  
 \\Pi(f\,g)(x)= \\int_0^\\infty Q_t f(x)\\\, P_tg(x)\\\, m(t)\\frac{\\mathr
 m{d}t}{t}\,\n\\]\nwhere $P_t$ and $Q_t$ represent frequency localisation o
 perators near\nthe ball $|{\\xi}|\\lesssim 1/t$ and the annulus $|{\\xi}|\
 \thickapprox\n1/t$\, respectively. More precisely\, we will present some n
 ew boundedness\nestimates for bilinear paraproducts operators on local {\\
 rm bmo} spaces.\n\nWe will motivate this study by giving some applications
  to the\ninvestigations on the boundedness of bilinear Fourier integral op
 erators\nand bilinear Coifman-Meyer multipliers.\n\nThis is a joint work w
 ith W. Staubach (Uppsala University).\n
LOCATION:CMS\, MR13
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