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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
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
Palabras clave:Ahlfors space; Hardy-Littlewood maximal operator; Hausdorff measure; Muckenhoupt weight; primary 28A25; secondary 28A78
Año:2014
Volumen:143
Número:1
Página de inicio:119
Página de fin:137
DOI: http://dx.doi.org/10.1007/s10474-014-0389-1
Título revista:Acta Mathematica Hungarica
Título revista abreviado:Acta Math. Hung.
ISSN:02365294
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