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.
Fraser, Kathryn E
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CA 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.