16 citations · 30 across the 9 of their papers we have counts for
10 papers
Multipliers for Hardy-Orlicz spaces and applications
Odysseas Bakas, Sandra Pott, Salvador Rodriguez-Lopez +1
Using real-variable methods, we characterise multipliers for general classes of Hardy--Orlicz spaces, unifying and extending several classical results due to Hardy and Littlewood;…
Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs
Aksel Bergfeldt, Salvador Rodriguez-Lopez, David Rule +1
We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banac…
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…
Multi-parameter extensions of a theorem of Pichorides
Odysseas Bakas, Salvador Rodriguez-Lopez, Alan Sola
Extending work of Pichorides and Zygmund to the -dimensional setting, we show that the supremum of -norms of the Littlewood-Paley square function over the unit ball of the…
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…
Restriction results for multilinear multipliers on weighted settings
Salvador Rodríguez-López
We obtain restriction results of K. de Leeuw's type for maximal operators defined through multilinear Fourier multipliers of either strong or weak type acting on weighted Lebesgue…
A Homomorphism Theorem for Bilinear Multipliers
Salvador Rodríguez-López
In this paper we prove an abstract homomorphism theorem for bilinear multipliers in the setting of locally compact Abelian (LCA) groups. We also provide some applications. In parti…
Global boundedness of multilinear Fourier integral operators
Salvador Rodriguez-Lopez, Wolfgang Staubach
We study the global boundedness of bilinear and multilinear Fourier integral operators on Banach and quasi-Banach spaces, where the amplitudes of the operators are smooth or…
On the boundedness of certain bilinear Fourier integral operators
Salvador Rodriguez-Lopez, David J. Rule, Wolfgang Staubach
We prove the global boundedness of bilinear Fourier integral operators with amplitudes in . To achieve this, we require that the phase fun…