One-sided median porosity of E is necessary and sufficient for d_E to the minus alpha to be in one-sided A_p for some alpha greater than zero when 1 less than p less than infinity, with new median characterizations of A_p and BMO.
Median porosity is quasiconformally invariant
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
A set in $\mathbb{R}^n$ is median porous if the logarithm of its distance function has bounded mean oscillation. We show that this property is preserved under quasiconformal mappings. In particular, median porosity is quasiconformally invariant. We also show that the stronger notion of weak porosity, by contrast, is not quasiconformally invariant.
fields
math.CA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
One-sided median porous sets and one-sided Muckenhoupt distance functions
One-sided median porosity of E is necessary and sufficient for d_E to the minus alpha to be in one-sided A_p for some alpha greater than zero when 1 less than p less than infinity, with new median characterizations of A_p and BMO.