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
[21] Arias, Sergi; Rodríguez-López, Salvador A weighted generalisation of Carleman’s inequality, Submitted (16 pp)
Publications
[20] Bergfelt, Aksel; Rodríguez-López, Salvador; Staubach, Wolfgang; On weighted norm inequalities for oscillatory integral operators, Analysis and Mathematical Physics, 12, 136 (2022), Article
[19] Arias, Sergi; Rodríguez-López, Salvador 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. To appear in Arkiv för Matematik, Arxiv
[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
[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