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Bilinear pseudodifferential operators with symbol in on Triebel-Lizorkin spaces with critical Sobolev index
Sergi Arias, Salvador Rodriguez-Lopez
In this paper we obtain new estimates for bilinear pseudodifferential operators with symbol in the class , when both arguments belong to Triebel-Lizorkin spaces of the…
Global boundedness of multilinear Fourier integral operators
Salvador Rodriguez-Lopez, David Rule, Wolfgang Staubach
We establish global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on product of spaces by proving endpoint boundedness…
Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces
Anders Israelsson, Salvador Rodriguez-Lopez, Wolfgang Staubach
In this paper we establish optimal local and global Besov-Lipschitz and Triebel-Lizorkin estimates for the solutions to linear hyperbolic partial differential equations. These esti…