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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
dc.subject.classification
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
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