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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Detalles Bibliográficos
Publicado: 2014
Materias:
Ahlfors space
Hardy-Littlewood maximal operator
Hausdorff measure
Muckenhoupt weight
primary 28A25
secondary 28A78
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02365294_v143_n1_p119_Aimar
record_format dspace
spelling paper:paper_02365294_v143_n1_p119_Aimar2023-06-08T15:21:50Z Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights 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. 2014 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
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
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.
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
publishDate 2014
url 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
_version_ 1768541795441967104

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