Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights |
Autor: | Aimar, H.; Carena, M.; Durán, R.; Toschi, M. |
Filiación: | Instituto de Matemática Aplicada del Litoral (CONICET-UNL), Departamento de Matemática (FIQ-UNL), Santa Fe, Argentina Instituto de Matemática Aplicada del Litoral (CONICET-UNL), Departamento de Matemática (FHUC-UNL), Santa Fe, Argentina Instituto de Investigaciones Matemáticas Luis A. Santaló (CONICET-UBA), Departamento de Matemática (UBA), Buenos Aires, Argentina
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Palabras clave: | Ahlfors space; Hardy-Littlewood maximal operator; Hausdorff measure; Muckenhoupt weight; primary 28A25; secondary 28A78 |
Año: | 2014
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Volumen: | 143
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Número: | 1
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Página de inicio: | 119
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Página de fin: | 137
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DOI: |
http://dx.doi.org/10.1007/s10474-014-0389-1 |
Título revista: | Acta Mathematica Hungarica
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Título revista abreviado: | Acta Math. Hung.
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ISSN: | 02365294
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02365294_v143_n1_p119_Aimar |
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Citas:
---------- APA ----------
Aimar, H., Carena, M., Durán, R. & Toschi, M.
(2014)
. Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights. Acta Mathematica Hungarica, 143(1), 119-137.
http://dx.doi.org/10.1007/s10474-014-0389-1---------- CHICAGO ----------
Aimar, H., Carena, M., Durán, R., Toschi, M.
"Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights"
. Acta Mathematica Hungarica 143, no. 1
(2014) : 119-137.
http://dx.doi.org/10.1007/s10474-014-0389-1---------- MLA ----------
Aimar, H., Carena, M., Durán, R., Toschi, M.
"Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights"
. Acta Mathematica Hungarica, vol. 143, no. 1, 2014, pp. 119-137.
http://dx.doi.org/10.1007/s10474-014-0389-1---------- VANCOUVER ----------
Aimar, H., Carena, M., Durán, R., Toschi, M. Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights. Acta Math. Hung. 2014;143(1):119-137.
http://dx.doi.org/10.1007/s10474-014-0389-1