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dc.contributor.author
Brasco, Lorenzo  
dc.contributor.author
Salort, Ariel Martin  
dc.date.available
2020-10-27T16:04:23Z  
dc.date.issued
2019-08  
dc.identifier.citation
Brasco, Lorenzo; Salort, Ariel Martin; A note on homogeneous Sobolev spaces of fractional order; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 198; 4; 8-2019; 1295-1330  
dc.identifier.issn
0373-3114  
dc.identifier.uri
http://hdl.handle.net/11336/116925  
dc.description.abstract
We consider a homogeneous fractional Sobolev space obtained by completion of the space of smooth test functions, with respect to a Sobolev–Slobodeckiĭ norm. We compare it to the fractional Sobolev space obtained by the K-method in real interpolation theory. We show that the two spaces do not always coincide and give some sufficient conditions on the open sets for this to happen. We also highlight some unnatural behaviors of the interpolation space. The treatment is as self-contained as possible.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer Heidelberg  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
FRACTIONAL SOBOLEV SPACES  
dc.subject
NONLOCAL OPERATORS  
dc.subject
POINCARÉ INEQUALITY  
dc.subject
REAL INTERPOLATION  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A note on homogeneous Sobolev spaces of fractional order  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-09-01T19:10:41Z  
dc.journal.volume
198  
dc.journal.number
4  
dc.journal.pagination
1295-1330  
dc.journal.pais
Alemania  
dc.journal.ciudad
Heidelberg  
dc.description.fil
Fil: Brasco, Lorenzo. Universita Di Ferrara. Dipartimento Di Física; Italia  
dc.description.fil
Fil: Salort, Ariel Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. 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
Annali Di Matematica Pura Ed Applicata  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10231-018-0817-x  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10231-018-0817-x  

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