My research interests are in harmonic analysis, oscillatory integral operators, weighted inequalities, and rearrangement invariant function spaces.

A large part of my research is concerned with study mapping properties of linear and multilinear operators, which naturally appear in the study of dispersive PDEs (Oscillatory integral operators and Pseudodifferential operators), in several scales of function spaces such as Lebesgue, Besov and Triebel-Lizorkin. 

My profiles at Mathscinet, Orcid, Google Scholar and Researchgate.

Preprints

[23] Bakas, Odysseas; Pott, Sanda; Rodríguez-López, Salvador; Sola, Alan  Multipliers for Hardy–Orlicz spaces and applications. To Appear in Journal d'Analyse Mathematique .Preprint
[22] Arias, Sergi; Rodríguez-López, Salvador  A weighted generalisation of Carleman’s inequality, To appear in Math. Inequal. Appl.  Preprint

Publications

[21] Arias, Sergi; Rodríguez-López, Salvador Bilinear pseudodifferential operators with symbol in BSm1,1 Triebel-Lizorkin spaces with critical Sobolev index, Sergi Arias, Salvador Rodríguez-López Collect. Math. 75, 567–591 (2024). Article 

[20] Bergfelt, Aksel; Rodríguez-López, Salvador; Rule, David; Staubach, Wolfgang;
Multilinear oscillatory integrals and estimates for coupled  systems of dispersive PDEs. Trans. Amer. Math. Soc. 376 (2023), no. 11, 7555–7601 Article

[19] Arias, Sergi; Rodríguez-López Endpoint estimates for bilinear pseudodifferential operators with symbol in BSm1,1,   J. Math. Anal. Appl 515, (2022), Article 

[18] Bakas, Odysseas; Pott, Sanda; Rodríguez-López, Salvador; Sola, Alan  Notes on Hlog: structural properties, dyadic variants, and bilinear H1-BMO mappings. Arkiv för Matematik 60 (2022), 231-275.Article

[17] Rodríguez-López, Salvador; Rule, David; Staubach, Wolfgang; Global boundedness of a class of multilinear Fourier integral operators. Forum of Mathematics, Sigma. 9, (2021), e14 (45pp) Article 

[16] Arias, Sergi; Rodríguez-López; Some endpoint estimates for bilinear Coifman-Meyer multipliers. J.Math.Anal. Appl. 498, (2021), no. 2,124972. Article

[15] Israelsson, Anders; Rodríguez-López, Salvador; Staubach, Wolfgang Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin.  Analysis and PDE. 14 (2021), no. 1, 1–44 , Article

[14] Bakas, Odysseas; Rodríguez-López, Salvador; Sola, Alan Multi-parameter extensions of a theorem of Pichorides Proc. Amer. Math. Soc. 147 (2019), no. 3, 1081–1095. Article

[13] Castro,  J. Alejandro; Rodríguez-López, Salvador; Staubach, Wolfgang. Transference of local to global L2 maximal estimates for dispersive partial differential equations. J. Math. Anal. Appl. 471 (2019), 411-422. (Arxiv  )

[12] Castro,  J. Alejandro; Rodríguez-López, Salvador; Staubach, Wolfgang Solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with Hölder continuous coefficients.  Trans. Amer. Math. Soc. 370 (2018), no. 1, 265–319. Article 

[11] Rodríguez-López, Salvador; Rule, David; Staubach, Wolfgang; On the boundedness of certain bilinear oscillatory integral operators. Trans. Amer. Math. Soc. 367 (2015), no. 10, 6971–6995. Article

[10] Rodríguez-López, Salvador Restriction results for multilinear multipliers in weighted settings. Proc. Roy. Soc. Edinburgh Sect. A 145 (2015), no. 2, 391–409. Article

[9] Rodríguez-López, Salvador; Staubach, Wolfgang Some endpoint estimates for bilinear paraproducts and applications. J. Math. Anal. Appl. 421 (2015), no. 2, 1021–1041. Article

[8] Rodríguez-López, Salvador; Rule, David; Staubach, Wolfgang A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators. Adv. Math. 264 (2014), 1–54. Article

[7] Rodríguez-López, Salvador A homomorphism theorem for bilinear multipliers. J. Lond. Math. Soc. (2) 88 (2013), no. 2, 619–636. Article

[6] Rodríguez-López, Salvador; Staubach, Wolfgang Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators. J. Funct. Anal. 264 (2013), no. 10, 2356–2385. Article

[5] Carro, María J.; Rodríguez-López, Salvador,On restriction of maximal multipliers in weighted settings. Trans. Amer. Math. Soc. 364 (2012), no. 5, 2241–2260. Article

[4] Rodríguez-López, Salvador; Soria, Javier A new class of restricted type spaces. Proc. Edinb. Math. Soc. (2) 54 (2011), no. 3, 749–759. Article

[3] Carro, María; Rodríguez, Salvador New results on restriction of Fourier multipliers. Math. Z. 265 (2010), no. 2, 417–435. Article

[2] Carro, María J.; Rodríguez, Salvador, Transference results on weighted Lebesgue spaces. Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), no. 2, 239–263.
Article

[1] Rodríguez-López, Salvador, Transference theory between quasi-Banach function spaces with applications to the restriction of Fourier multipliers. ISBN-9788469361993, TDX