Salvador Rodríguez-López

activity

20132021

most citedEstimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators

53 citations · 62 across the 8 of their papers we have counts for

collaborators

9 papers

math.AP2021

Endpoint estimates for bilinear pseudodifferential operators with symbol in BS^m_{1,1}

Sergi Arias, Salvador Rodríguez-López

In this paper we establish some endpoint estimates for bilinearpseudodifferential operators with symbol in the class BS^m_{1,1}, involving the space of functions with local bounded…

math.CA2020

Notes on $H^{l o g}$ : structural properties, dyadic variants, and bilinear $H^{1}$ - $B M O$ mappings

Odysseas Bakas, Sandra Pott, Salvador Rodríguez-López +1

This article is devoted to a study of the Hardy space $H^{l o g} (R^{d})$ introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating…

math.AP2020

Some endpoint estimates for bilinear Coifman-Meyer multipliers

Sergi Arias, Salvador Rodríguez-López

In this paper we establish mapping properties of bilinear Coifman-Meyer multipliers acting on the product spaces $H^{1} (R^{n}) \times bmo (R^{n})$ and $L^p(\mathb…

math.CA2019

$L lo g lo g L$ versions of Stein's and Zygmund's theorems for the Hardy space $H^{l o g} (R^{d})$

Odysseas Bakas, Salvador Rodríguez-López, Alan Sola

We obtain versions of some classical results of Zygmund and Stein for functions belonging to the Hardy space $H^{l o g} (R^{d})$ introduced by Bonami, Grellier, and Ky. We pr…

math.AP2017

Transference of local to global $L^{2}$ maximal estimates for dispersive partial differential equations

Alejandro J. Castro, Salvador Rodríguez-López, Wolfgang Staubach

In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local $L^{2}$ estimates for certain…

math.AP2015★ 9 cited

Solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with Hölder continuous coefficients

Alejandro J. Castro, Salvador Rodríguez-López, Wolfgang Staubach

We establish the $L^{2}$ -solvability of Dirichlet, Neumann and regularity problems for divergence-form heat (or diffusion) equations with Hölder-continuous diffusion coefficients, on…

math.AP2014

Some endpoint estimates for bilinear paraproducts and applications

Salvador Rodríguez-López, Wolfgang Staubach

In this paper we establish the boundedness of bilinear paraproducts on local BMO spaces. As applications, we also investigate the boundedness of bilinear Fourier integral operators…

math.AP2014

A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators

Salvador Rodríguez-López, David Rule, Wolfgang Staubach

We establish the regularity of bilinear Fourier integral operators with bilinear amplitudes in $S_{1, 0}^{m} (n, 2)$ and non-degenerate phase functions, from $L^{p} \times L^{q} \to L^{r}$ u…

math.AP2013★ 53 cited

Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators