Thinness of sets in potential theory associated with local Muckenhoupt weights
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Open Access
- 21 January 2026
- journal article
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- p. 1-26
Abstract
We study the thinness of sets with respect to weighted local Riesz capacities, where the associated weights are of local Muckenhoupt class. The thinness is characterized in terms of Wolff potentials. We also obtain the Kellogg property and Choquet theorem as applications.Keywords
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