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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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02365294_v143_n1_p119_Aimar |
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todo:paper_02365294_v143_n1_p119_Aimar2023-10-03T15:11:20Z Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights Aimar, H. Carena, M. Durán, R. Toschi, M. Ahlfors space Hardy-Littlewood maximal operator Hausdorff measure Muckenhoupt weight primary 28A25 secondary 28A78 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02365294_v143_n1_p119_Aimar |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Ahlfors space Hardy-Littlewood maximal operator Hausdorff measure Muckenhoupt weight primary 28A25 secondary 28A78 |
| spellingShingle |
Ahlfors space Hardy-Littlewood maximal operator Hausdorff measure Muckenhoupt weight primary 28A25 secondary 28A78 Aimar, H. Carena, M. Durán, R. Toschi, M. Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
| topic_facet |
Ahlfors space Hardy-Littlewood maximal operator Hausdorff measure Muckenhoupt weight primary 28A25 secondary 28A78 |
| description |
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. |
| format |
JOUR |
| author |
Aimar, H. Carena, M. Durán, R. Toschi, M. |
| author_facet |
Aimar, H. Carena, M. Durán, R. Toschi, M. |
| author_sort |
Aimar, H. |
| title |
Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
| title_short |
Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
| title_full |
Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
| title_fullStr |
Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
| title_full_unstemmed |
Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
| title_sort |
powers of distances to lower dimensional sets as muckenhoupt weights |
| url |
http://hdl.handle.net/20.500.12110/paper_02365294_v143_n1_p119_Aimar |
| work_keys_str_mv |
AT aimarh powersofdistancestolowerdimensionalsetsasmuckenhouptweights AT carenam powersofdistancestolowerdimensionalsetsasmuckenhouptweights AT duranr powersofdistancestolowerdimensionalsetsasmuckenhouptweights AT toschim powersofdistancestolowerdimensionalsetsasmuckenhouptweights |
| _version_ |
1782030704851288064 |