Spherical maximal operators with fractal sets of dilations on radial
functions
Spherical maximal operators with fractal sets of dilations on radial
functions
For a given set of dilations $E\subset [1,2]$, Lebesgue space mapping properties of the spherical maximal operator with dilations restricted to $E$ are studied when acting on radial functions. In higher dimensions, the type set only depends on the upper Minkowski dimension of $E$, and in this case complete endpoint …