10 citations · 48 across the 18 of their papers we have counts for
5 papers · 1 filter
Maximal inequalities and the decay of Fourier transforms of measures
Terence L. J. Harris
It is shown that Schrödinger maximal inequalities over fractals are equivalent to the decay rates of Fourier transforms of fractal measures over the paraboloid. A similar con…
Improved decay of conical averages of the Fourier transform
Terence L. J. Harris
An improved lower bound is given for the decay of conical averages of Fourier transforms of measures, for cones of dimension . The proof uses a weighted version of the br…
Refined Strichartz inequalities for the wave equation
Terence L. J. Harris
Some analogues of the Schrödinger refined Strichartz inequalities (Du, Guth, Li and Zhang) are obtained for the wave equation. These are used to improve the best known fracta…
Two-by-two upper triangular matrices and Morrey's conjecture
Terence L. J. Harris, Bernd Kirchheim, Chun-Chi Lin
It is shown that every homogeneous gradient Young measure supported on matrices of the form $\begin{pmatrix} a_{1,1} & \cdots & a_{1,n-1} & a_{1,n} \\ 0 & \cdots & 0 & a_{2,n} \end…
Upper semicontinuity of the lamination hull
Terence L. J. Harris
Let be a compact set, let be its rank-one convex hull, and let be its lamination convex hull. It is shown that the mapping $K…