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dc.contributor.author
López-García, Fernando  
dc.contributor.author
Ojea, Ignacio  
dc.date.available
2023-09-29T17:15:35Z  
dc.date.issued
2022-01  
dc.identifier.citation
López-García, Fernando; Ojea, Ignacio; Weighted Discrete Hardy Inequalities on Trees and Applications; Springer; Potential Analysis; 59; 2; 1-2022; 675-703  
dc.identifier.issn
0926-2601  
dc.identifier.uri
http://hdl.handle.net/11336/213628  
dc.description.abstract
In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Hölder-α domains, where the weights are powers of the distance to the boundary. We obtain results regarding the divergence equation’s solvability, and the improved Poincaré, the fractional Poincaré, and the Korn inequalities. The proofs are based on a local-to-global argument that involves a kind of atomic decomposition of functions and the validity of a weighted discrete Hardy-type inequality on trees. The novelty of our approach lies in the use of this weighted discrete Hardy inequality and a sufficient condition that allows us to study the weights of our interest. As a consequence, the assumptions on the weight exponents that appear in our results are weaker than those in the literature.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
DECOMPOSITION OF FUNCTIONS  
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DISCRETE HARDY INEQUALITY  
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DISTANCE  
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DIVERGENCE EQUATION  
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HÖLDER-Α DOMAINS  
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KORN’S INEQUALITY  
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POINCARÉ-TYPE INEQUALITIES  
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TREES  
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WEIGHTS  
dc.subject.classification
Matemática Pura  
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Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
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Matemática Aplicada  
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Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Weighted Discrete Hardy Inequalities on Trees and Applications  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-07-07T22:47:48Z  
dc.journal.volume
59  
dc.journal.number
2  
dc.journal.pagination
675-703  
dc.journal.pais
Alemania  
dc.description.fil
Fil: López-García, Fernando. California State Polytechnic University; Estados Unidos  
dc.description.fil
Fil: Ojea, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.journal.title
Potential Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11118-021-09982-5