Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives

The Nikolskii-Besov spaces Bpqα(Rn)≡ Bpqα, 1≤ p, q≤∞, α and gt;0, recently were described using the Caputo's fractional derivative. Using the concept of weak fractional derivative, in this paper we reduces the characterization of Bpqα to the case Bpqγ, where γ is any positive number strictly le...

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Autores:
Enríquez, Francisco
Pérez, Jhon
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/49340
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/49340
http://bdigital.unal.edu.co/42797/
Palabra clave:
Espacios de Nikolskii-Besov
derivada fraccionaria
núcleo de Poisson
integral de Poisson
26A33
26A16
Nikolskii-Besov spaces
Fractional derivative
Poisson kernel
Poisson integral
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openAccess
License
Atribución-NoComercial 4.0 Internacional
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repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Enríquez, Francisco5d353dcc-f6f5-48f1-8fc1-a877fc401a30300Pérez, Jhon13203a02-25d7-4d5e-ab29-720eb128f5fd3002019-06-29T08:36:29Z2019-06-29T08:36:29Z2013https://repositorio.unal.edu.co/handle/unal/49340http://bdigital.unal.edu.co/42797/The Nikolskii-Besov spaces Bpqα(Rn)≡ Bpqα, 1≤ p, q≤∞, α and gt;0, recently were described using the Caputo's fractional derivative. Using the concept of weak fractional derivative, in this paper we reduces the characterization of Bpqα to the case Bpqγ, where γ is any positive number strictly less than α.Los espacios de Nikolskii-Besov Bpqα(Rn)≡ Bpqα, 1≤ p, q≤∞, α and gt;0, se han descrito recientemente con ayuda de las derivadas fraccionarias de Caputo. Usando el concepto de derivada fraccionaria débil, en el presente trabajo se reduce la caracterización de Bpqα al casoBpqγ, donde γ es cualquier número positivo estrictamente menor que α.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45183Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 149-165 2357-4100 0034-7426Enríquez, Francisco and Pérez, Jhon (2013) Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 149-165 2357-4100 0034-7426 .Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivativesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTEspacios de Nikolskii-Besovderivada fraccionarianúcleo de Poissonintegral de Poisson26A3326A16Nikolskii-Besov spacesFractional derivativePoisson kernelPoisson integralORIGINAL45183-216915-1-SM.pdfapplication/pdf480474https://repositorio.unal.edu.co/bitstream/unal/49340/1/45183-216915-1-SM.pdf8ed7dec629882cc0a2be3ba9309ec8d1MD5145183-216916-2-PB.htmltext/html4490https://repositorio.unal.edu.co/bitstream/unal/49340/2/45183-216916-2-PB.html7af3fb040a721c4280b2c15e09ba0911MD52THUMBNAIL45183-216915-1-SM.pdf.jpg45183-216915-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5253https://repositorio.unal.edu.co/bitstream/unal/49340/3/45183-216915-1-SM.pdf.jpg4c83cf98c339312a0bc132b3cced22c6MD53unal/49340oai:repositorio.unal.edu.co:unal/493402022-12-14 23:03:59.654Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
title Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
spellingShingle Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
Espacios de Nikolskii-Besov
derivada fraccionaria
núcleo de Poisson
integral de Poisson
26A33
26A16
Nikolskii-Besov spaces
Fractional derivative
Poisson kernel
Poisson integral
title_short Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
title_full Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
title_fullStr Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
title_full_unstemmed Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
title_sort Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
dc.creator.fl_str_mv Enríquez, Francisco
Pérez, Jhon
dc.contributor.author.spa.fl_str_mv Enríquez, Francisco
Pérez, Jhon
dc.subject.proposal.spa.fl_str_mv Espacios de Nikolskii-Besov
derivada fraccionaria
núcleo de Poisson
integral de Poisson
26A33
26A16
Nikolskii-Besov spaces
Fractional derivative
Poisson kernel
Poisson integral
topic Espacios de Nikolskii-Besov
derivada fraccionaria
núcleo de Poisson
integral de Poisson
26A33
26A16
Nikolskii-Besov spaces
Fractional derivative
Poisson kernel
Poisson integral
description The Nikolskii-Besov spaces Bpqα(Rn)≡ Bpqα, 1≤ p, q≤∞, α and gt;0, recently were described using the Caputo's fractional derivative. Using the concept of weak fractional derivative, in this paper we reduces the characterization of Bpqα to the case Bpqγ, where γ is any positive number strictly less than α.
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-06-29T08:36:29Z
dc.date.available.spa.fl_str_mv 2019-06-29T08:36:29Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/49340
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/42797/
url https://repositorio.unal.edu.co/handle/unal/49340
http://bdigital.unal.edu.co/42797/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/45183
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 149-165 2357-4100 0034-7426
dc.relation.references.spa.fl_str_mv Enríquez, Francisco and Pérez, Jhon (2013) Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 149-165 2357-4100 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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