Loukas Grafakos
Curators Distinguished Professor and the Mahala and Rose Houchins Distinguished Professor
320A Mathematical Sciences Building
573-882-6958

Distinguished Professorships

Curators Distinguished Professor

Mahala and Rose Houchins Distinguished Professor

Education

1989 Ph.D., University of California, Los Angeles

1985 M.A., University of California, Los Angeles

1984 B.A., University of Athens, Greece

Frequently Taught Courses

MATH 8630 Harmonic Analysis I

MATH 8631 Harmonic Analysis II

MATH 8220 Basic Analysis

MathSciNet Links

authored by Loukas Grafakos

reviewed by Loukas Grafakos

Books

Loukas Grafakos,  Classical Fourier Analysis, Third Edition, Graduate Texts in Mathematics, no 249, Springer, New York, 2014. https://link.springer.com/book/10.1007/978-1-4939-1194-3

Loukas Grafakos,  Modern Fourier Analysis, Third Edition, Graduate Texts in Mathematics, no 250, Springer, New York, 2014. https://link.springer.com/book/10.1007/978-1-4939-1230-8

Nakhlé H. Asmar, Loukas Grafakos,  Complex Analysis with Applications, Undergraduate Texts in Mathematics,  Springer, New York, 2018. https://link.springer.com/book/10.1007/978-3-319-94063-2

Loukas Grafakos,  Fundamentals of Fourier Analysis, Graduate Texts in Mathematics, no 302, Springer, New York, 2024. https://link.springer.com/book/10.1007/978-3-031-56500-7

Select Publications

Distributional estimates for the bilinear Hilbert transforms. Dmitriy Bilyk. Journal of Geometric Analysis, 16 (2006), no. 4, 563--584.

On maximal functions for Mikhlin-Hörmander multipliers. Petr Honzík; Andreas Seeger. Advances in Mathematics, 204 (2006), no.2, 363--378.

Uniform bounds for the bilinear Hilbert transforms I.  with Xiaochun Li.  Annals of Mathematics 159 (2004), no. 3, 889--933.

The bilinear multiplier problem for the disc, with Xiaochun Li, Harmonic analysis at Mount Holyoke [South Hadley, MA, 2001], 173--193, Contemporary Mathematics, 320, American Mathematical Society, Providence, RI, 2003.

Multilinear Calderón-Zygmund theory. with Rodolfo Torres. Advances in Mathematics 165 (2002), no. 1, 124--164.

Research Area