Selected Publications

1986. J. Alvarez, M.Milman. Hp Continuity Properties of Calderón-Zygmund Type Operators, J. Math. Anal. Appl. 118 (1986), 63-79.

1990. M. Cwikel, B. Jawerth, M. Milman. On the fundamental lemma of interpolation theory, J. Approx. Theory 60 (1990) 70–82.

1991. B. Jawerth, M. Milman. Extrapolation theory with Applications, Mem. Amer. Math. Soc. 89 (440) (1991).

1993. M. Milman. Integrability of the Jacobian of Orientation Preserving Maps: Interpolation Methods, Comptes Rendus Acad. Sc. Paris, 317 (1993), 539-543.

1995. M. Milman. Higher Order Commutator Theorems in the Real Method of Interpolation, Journal D'Analyse Mathematique 66 (1995), 37-55.

1999. J. Bastero, M. Milman, F. Ruiz. Reverse Hölder Inequalites and Interpolation, Function Spaces, Interpolation Spaces, and Related Topics, Israel Math. Proc.Proc. 13 (1999), 11-23.

2000. J. Bastero, M. Milman, F. Ruiz. Commutators for the sharp and maximal functions, Proceedings American Mathematical Society 128 (2000), 3329-3334.

2000. M. Mastylo, M. Milman. A new approach to Gehring's Lemma, Indiana University Math. Journal 49 (2000), 655-679.

2001 J. Bastero, M. Milman, F. Ruiz. On the connection between weighted norm inequalities, commutators and real interpolation, Mem. Amer. Math. Soc. 154 (2001), no. 731.

2002. M. Cwikel, N. Kalton, M. Milman, R. Rochberg. A unifed theory of commutators for a class of interpolation methods, Advances in Mathematics 169 (2002), 241-312.

2003. J. Bastero, M. Milman, F. Ruiz. A note on L(/infty; q) spaces and Sobolev embeddings, Indiana Mathematics Journal 52 (2003), 1215-1230.

2004. M. Milman, E. Pustylnik. On sharp higher order Sobolev embeddings, Communications in Contemporary Mathematics 6 (2004), 495-511.

2004. N. Krugljak, M. Milman. A distance between orbits that controls commutator estimates and invertibility of operators, Advances in Mathematics 182 (2004), 128-173.

2005. G. Karadzhov, M. Milman, J. Xiao. On limits of Besov spaces and sharp reiteration theorems, Journal Functional Analysis 221 (2005), 323-339.

2006. J. Martin, M. Milman. Symmetrization and Sobolev embeddings, Proceedings American Mathematical Society 134 (2006), 2335-2347.

2007. J. Martin, M. Milman, E. Pustylnik. Sobolev Inequalities: Symmetrization and Self Improvement via truncation, Journal of Functional Analysis 252 (2007), 677-695.

2009. J. Martin, M. Milman. Isoperimetry and Symmetrization for Logarithmic Sobolev inequalities, Journal of Functional Analysis 256 (2009), 149-178.

2010. J. Martin, M. Milman. Pointwise Symmetrization Inequalities for Sobolev functions and applications, Advances in Mathematics 225 (2010), 121-199.

2014. J. Martin, M. Milman. Fractional Sobolev inequalities: symmetrization, isoperimetry and interpolation, Astérisque 36 (2014), 136 pages.

2015. J. Martin, M. Milman. Integral isoperimetric transference and dimensionless Sobolev inequalities, Revista Matematica Complutense 28 (2015), 359-392.

2016. J. Martin, M. Milman. Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces, Journal of Functional Analysis 270 (2016), 3307-3343.

2016. M. Milman. Marcinkiewicz spaces, Garsia-Rodemich spaces and the scale of John-Nirenberg self improving inequalities, Annales Academiæ Scientiarum Fennicæ Mathematica 41 (2016), 491-501.

2016. M. Milman. BMO :Oscillations, Self-Improvement, Gagliardo coordinate spacesand Reverse Hardy inequalities. Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory. Celebrating Cora Sadosky's Life.Volume 1 (Edited by S. Marcantognini, M. C. Pereyra, A. Stokolos and W. Urbina), AWM-Springer Series, 2016, pp 233-274.

2019. M. Milman. Garsia-Rodemich Spaces: Bourgain-Brezis-Mironescu space, embeddings and rearrangement invariant spaces, Journal D'Analyse Mathematique 139 (2019), 121-141.

2019. S. Astashkin, K. Lykov, M. Milman. Limiting Interpolation Spaces via Extrapolation, Journal of Approximation Theory 249 (2019), 16-70.

2020. S. Astashkin, M. Milman. Garsia-Rodemich spaces: Local maximal functions and Interpolation, Studia Mathematica 255 (2020), 1-26.

2021.  Pure and Applied Functional Analysis: Special Issue. Thirty years of extrapolation. www.yokohamapublishers.jp/online2/pafav6n3.html 

2021. A. Corvalan, M. Milman. Reverse Holder inequalities revisited: Interpolation, Extrapolation, Indices and Doubling, Pure and Applied Functional Analysis 6 (3) (2021), 565-604.

2021. S. Astashkin, M. Milman. Extrapolation: Stories and Problems, Pure and Applied Functional Analysis 6 (3) (2021), 651-707.

2021. O. Dominguez, M. Milman. Sparse Brudnyi and John-Nirenberg spaces, Comptes Rendus Mathematique 359 (2021), p. 1059-1069.

2022. O. Dominguez, M. Milman. New Brezis-Van Schaftingen-Yung Sobolev type inequalities connected with maximal inequalities and one parameter families of operators, Advances in Mathematics 411 (2022), 1-76.

2023. O. Dominguez, M. Milman. Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation, Calculus of Variations and PDE (2023), 62-43, 1-37.

2023. S. Astashkin, K. Lykov, M. Milman. Majorization revisited: Comparison of norms in interpolation scales, Math. Annalen 2023, 54 pages.

2023. O. Dominguez, M. Milman, Uniqueness for 2D Euler and transport equations via extrapolation, preprint at Researchgate

2023. O. Dominguez, M. Milman, A sharp stability criterion for Euler equations via sparseness, preprint.