Salvador Rodriguez-Lopez: Some endpoint estimates for paraproducts and applications
Time: Wed 2015-10-28 10.30 - 11.30
Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University
Participating: Salvador Rodriguez-Lopez
In this talk we will revise some classical results and definitions on paraproducts of Bony's type (see e.g. [CM, Thm 33] and [T, Appendix D]). We will also present some recent results on endpoint estimates for bilinear paraproducts operators on local bmo spaces [RS].
We will motivate this study by giving some applications to the investigations on the boundedness of bilinear Fourier integral operators and bilinear Coifman-Meyer multipliers.
References
[CM] R. Coifman, Y. Meyer, Au delà des opérateurs pseudo-différentiels. Astérisque, 57. 1978
[RS] S. Rodriguez-Lopez, W. Staubach, Some endpoint estimates for bilinear paraproducts and applications. J. Math. Anal. Appl. 421 (2015), no. 2, 1021–1041.
[T] M. Taylor, Pseudodifferential Operators and Nonlinear PDE, Progress in Mathematics, 100. Birkhäuser, 1991.