Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights
Let (X, d, μ) be an Ahlfors metric measure space. We give sufficient conditions on a closed set F {subset double equals} X and on a real number β in such a way that d(x, F)β becomes a Muckenhoupt weight. We give also some illustrations to regularity of solutions of partial differential equations and...
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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02365294_v143_n1_p119_Aimar http://hdl.handle.net/20.500.12110/paper_02365294_v143_n1_p119_Aimar |
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| Sumario: | Let (X, d, μ) be an Ahlfors metric measure space. We give sufficient conditions on a closed set F {subset double equals} X and on a real number β in such a way that d(x, F)β becomes a Muckenhoupt weight. We give also some illustrations to regularity of solutions of partial differential equations and regarding some classical fractals. © 2014 Akadémiai Kiadó, Budapest, Hungary. |
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