Median porosity is quasiconformally invariant, while the stronger weak porosity is not.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.CA 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
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.
A nonempty closed set is parabolic weakly porous if and only if the parabolic distance function of the set to a negative power belongs to the parabolic Muckenhoupt A1 class.
citing papers explorer
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Median porosity is quasiconformally invariant
Median porosity is quasiconformally invariant, while the stronger weak porosity is not.
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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.
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Parabolic weak porosity and parabolic Muckenhoupt distance functions
A nonempty closed set is parabolic weakly porous if and only if the parabolic distance function of the set to a negative power belongs to the parabolic Muckenhoupt A1 class.