2 papers
math.CA2026
On the parabolic Hausdorff dimension of orthogonal projections
Terence L. J. Harris, Pertti Mattila
For Borel sets we prove lower bounds for the parabolic Hausdorff dimension of the orthogonal projections of on generic -dimensional…
math.AP2026
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 co…