For every dilation set E in [1,2], the complete L^p to L^q mapping range of the spherical maximal operator on radial functions is computed: a Minkowski-dimension triangle for d at least 3, and a ν♯-spectrum region for d = 2.
Averages in the plane over convex curves a nd maximal operators
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Spherical maximal operators with fractal sets of dilations on radial functions
For every dilation set E in [1,2], the complete L^p to L^q mapping range of the spherical maximal operator on radial functions is computed: a Minkowski-dimension triangle for d at least 3, and a ν♯-spectrum region for d = 2.