Introduction Program Talks & posters Participants Practical Info
Young Women in Harmonic Analysis and PDE
December 2-4, 2016
Dominique Maldague (UC Berkeley)
A restricted extremization problem for a weakened Hausdorff-Young inequality
Among subsets of Euclidean space with prescribed measure, for which functions and sets is the L^q norm of the Fourier transform of bounded multiples of the indicator function maximized? Various partial results concerning this question are established, including the existence of maximizers and the identification of maximizers as ellipsoids times Fourier characters for certain exponents.