Publicaciones / Publications:

• Jesús Bastero, Luis Vega, Jean Bourgain (1954–2018), las matemáticas sin frontera. La Gaceta de la R.S.M.E. Vol. 22 (2019), Núm. 2, Págs. 259–265
• David Alonso, Jesús Bastero: The variance conjecture on hyperplane projections of the l_p^n. Rev. Mat. Iberoamericana, Volume 34, Issue 2, 2018, pp. 879–904.
• David Alonso, Jesús Bastero: Convex inequalities, isoperimetry and spectral gap. In Advanced Courses of Mathematical Analysis VI (Proceedings of the Sixth International School, CIDAMA, held in Antequera 2014), pp 3-24, World Scientific. ISBN 978-981-3147-63-8, (2016).
• David Alonso, Jesús Bastero: Approaching the Kannan- Lovász-Simonovits and Variance Conjectures. Lecture Notes in Mathematics, nº 2131, (2015) Springer Verlag
• Jesús Bastero, Reseña de Libros: “Análisis Funcional” de Bernardo Cascales, José Manuel Mira, José Orihuela y Matías Raja. Gaceta de la Real Sociedad Matemática Española. Vol. 16 (2013), Núm. 2, Págs. 387–391
• David Alonso, Jesús Bastero, The variance conjecture on some polytopes. In Asymptotic Geometric Analysis. Proceedings of the Fall 2010, Fields Institute Thematic Program. Fields Institute Communications 68 (2013), 1-20. Springer.
• David Alonso, Jesús Bastero, Julio Bernués: Factoring Sobolev inequalities through classes of functions. Proceedings of A.M.S. 140 (10), (2012),3557–3566.
• David Alonso, Jesús Bastero, Julio Bernués and Pawel Wolff On the isotropy constant of projections of polytopes. J. Funct. Anal. 258 (5), (2010), 1452-1465
• David Alonso, Jesús Bastero, Julio Bernués and Pawel Wolff: The slicing problem for hyperplane projections of B_p^n. In Mathematical Physics and Field Theory, Julio Abad in Memoriam”. Editors: M. Asorey et &. Prensas Universitarias de Zaragoza (2009), 53-60.
• David Alonso, Jesús Bastero, Julio Bernués: A note on typical sections of isotropic convex bodies. Proc. MCalvo6(5) Conf. Mon. Real Acad. Cienc. Zaragoza 33 (2010), 225-232.
• David Alonso, Jesús Bastero, Julio Bernués and Gregoris Paouris: High dimensional random sections of isotropic convex bodies J. Math. Anal. Appl. 361 (2010), 431–439.
• Jesús Bastero y Julio Bernués: Asymptotic behavior of averages of $k$-dimensional marginals of measures on $\R^n$. Studia Math. 190 (2009), 1-31.
• Jesús Bastero y Julio Bernués: Gaussian behaviour and average of marginals for convex bodies. Extracta Mathematica 22 (2), (2007), 115-126.
• Jesús Bastero: Upper bounds for the volume and diameter of m-dimensional sections of convex bodies. Proceedings of AMS 135(2007), 1851-1859.
• Jesús Bastero, Julio Bernués y Miguel Romance: From John to Gauss-John positions via dual mixed volumes J. Math. Anal. Appl. 328 (1), (2007), 550-566
• Jesús Bastero, J. Bernués, M. Romance: Dual quermassintegrals, extremal positions and isotropic measur. Sem. Mat. Univ. Sevilla (2006), 11-26
• Jesús Bastero y Miguel Romance: Random vectors satisfying Khinchine-Kahane type inequalities for linear and quadratic forms. Math. Nach. 278 (9), (2005), 1015-1024
• Jesús Bastero y Miguel Romance: An integral inequality concerning isotropic measures on the unit circle. Journal of Math. Anal. Appl. 293. (2004), pp.564-577
• Jesús Bastero y Miguel Romance: A characterization of the MM*-position of a convex body in terms of covariance matrices, . Israel J. Math. 141 (2004), 145-156
• Jesús Bastero y Miguel Romance Positions of convex bodies associated to extremal problems and isotropic measures, Adv. Math. 184 (2004), pp.64-88
• Jesús Bastero, M. Milman y Francisco J. Ruiz: A note on L(infinity, q) spaces and Sobolev embeddings. Indiana Unv. Math. J. 52 (5), (2003), 1215-1230.
• Jesús Bastero y Miguel Romance: John's Decompositions of the Identity in the Non-Convex Case. Positivity 6 (1), (2002), 1-16.
• Jesús Bastero, Fernando Galve, Ana Peña y Miguel Romance: Inequalities for the Gamma function and estimates for the volume of sections of B^n_p. Proccedings A.M.S. 130 (1), (2002), 183-192.
• Jesús Bastero, M. Milman y Francisco J. Ruiz: On the connection betwen weighted norm inequalities, commutators and real interpolation. Memoirs AMS.154, nº 731, Noviembre 2001.
• Jesús Bastero, M. Milman y Francisco J. Ruiz: Coifman-Rochberg type characterization of quasi-power weights. Rev. R.Acad. Cienc. Exac. Fis Nat., Madrid. 94 (2000), 425-430
• Jesús Bastero, M. Milman y Francisco J. Ruiz: Rearranging Hardy-Littlewood maximal functions on Lorentz spaces. Proceedings AMS 128 (1), (2000), 65-7
• Jesús Bastero, M. Milman y Francisco J. Ruiz: On sharp reiteration theorems and weighted norm inequalities, Studia Math.142 (1), (2000), 7-24
• Jesús Bastero: De la Geometría de los Espacios de Banach al Análisis Geométrico Convexo discurso de entrada en la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 9_XI-2000.
• Jesús Bastero, Luis Vega:Jean Bourgain, Medalla Fields,. Gac. R. Soc. Mat. Esp. 2 (1999), no. 1, 145--155.
• Jesús Bastero, Mario Milman, Francisco J. Ruiz: Reverse Hölder inequalities and interpolation,. Function spaces, interpolation and related topics. Israel Math. Conf. Proc. (1999), 11-23.
• Jesús Bastero, Mario Milman, Francisco J. Ruiz: Calderón weights and the real interpolation methods, Rev. Mat. Univ. Complutense 9 (nº sup.), (1996), 73-89.
• Jesús Bastero, Mario Milman, Francisco J. Ruiz: Elementary Reverse Holder type inequalities with applications to operator interpolation theory, . Proceedings A.M.S. 124 (1996), 3183-3192
• Jesús Bastero, Julio Bernués, Ana Peña: An extension of Milman's reverse Brunn-Minkowski inequality,. Geometric and Functional Analysis, 5 (3) (1995), 572-581.
• Jesús Bastero, Julio Bernués, Ana Peña: The theorems of Caratheodory and Gluskin for 0<p<1, Proceedings A.M.S. 123, (1995), 141-144.
• Jesús Bastero, Julio Bernués: Embedding l_pⁿinto r-Banach spaces 0 < r < p < 2,. J. Math. Anal. Appl. 178 (1993), 363-380.
• Jesús Bastero, Francisco J. Ruiz: Interpolation of operators when the extreme spaces are L^\infty,. Studia Math. 104, (2), (1993), 133-150.
• Jesús Bastero, Julio Bernués: Applications of deviation inequalities on finite metric sets. Math. Nach., 153 (1991), 33-41.
• Jesús Bastero, Julio Bernués and Nigel J. Kalton: Embedding l _∞ ⁿ-cubes in finite dimensional subsymmetric normed spaces. Rev. Mat. Univ. Complutense Madrid, 2 (1989), 47-52
• Jesús Bastero, Yves Raynaud and M. Luisa Rezola: An explicit expression for the K_r-functionals of interpolation between L^p spaces.. Publicacions Matemátiques. Vol 35 (1991), 97-117