Mixed-norm bounds for circular averages on α-dimensional fractals yield the first exceptional set estimates for Hölder regularity of linear wave solutions in R².
Ann.\@ Math.\@ (2) 136(1) (1992): 207--218
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CA 2years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Under the stated ranges for k, d and p, the maximal operator given by the sup over r of the absolute value of r^k times the k-th derivative of the spherical mean is bounded on L^p with a bound independent of dimension d.
citing papers explorer
-
Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation
Mixed-norm bounds for circular averages on α-dimensional fractals yield the first exceptional set estimates for Hölder regularity of linear wave solutions in R².