Doubling condition at the origin for non-negative positive definite functions

We study upper and lower estimates as well as the asymptotic behavior of the sharp constant C=Cn(U,V) in the doubling-type condition at the origin 1|V|∫Vf(x)dx≤C1|U|∫Uf(x)dx, where U,V⊂ℝn are 0-symmetric convex bodies and f is a non-negative positive definite function.

Detalles Bibliográficos
Autores: Gorbachev, Dmitry, Tikhonov, Sergey
Tipo de recurso: artículo
Estado:Versión borrador
Fecha de publicación:2019
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/378038
Acceso en línea:http://hdl.handle.net/2072/378038
Access Level:acceso abierto
Palabra clave:Matemàtiques
51
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spelling Doubling condition at the origin for non-negative positive definite functionsGorbachev, DmitryTikhonov, SergeyMatemàtiques51We study upper and lower estimates as well as the asymptotic behavior of the sharp constant C=Cn(U,V) in the doubling-type condition at the origin 1|V|∫Vf(x)dx≤C1|U|∫Uf(x)dx, where U,V⊂ℝn are 0-symmetric convex bodies and f is a non-negative positive definite function.2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/draft618 p.application/pdfhttp://hdl.handle.net/2072/378038RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésProceedings of the American (Mathematical Society)L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/3780382026-05-29T05:05:01Z
dc.title.none.fl_str_mv Doubling condition at the origin for non-negative positive definite functions
title Doubling condition at the origin for non-negative positive definite functions
spellingShingle Doubling condition at the origin for non-negative positive definite functions
Gorbachev, Dmitry
Matemàtiques
51
title_short Doubling condition at the origin for non-negative positive definite functions
title_full Doubling condition at the origin for non-negative positive definite functions
title_fullStr Doubling condition at the origin for non-negative positive definite functions
title_full_unstemmed Doubling condition at the origin for non-negative positive definite functions
title_sort Doubling condition at the origin for non-negative positive definite functions
dc.creator.none.fl_str_mv Gorbachev, Dmitry
Tikhonov, Sergey
author Gorbachev, Dmitry
author_facet Gorbachev, Dmitry
Tikhonov, Sergey
author_role author
author2 Tikhonov, Sergey
author2_role author
dc.subject.none.fl_str_mv Matemàtiques
51
topic Matemàtiques
51
description We study upper and lower estimates as well as the asymptotic behavior of the sharp constant C=Cn(U,V) in the doubling-type condition at the origin 1|V|∫Vf(x)dx≤C1|U|∫Uf(x)dx, where U,V⊂ℝn are 0-symmetric convex bodies and f is a non-negative positive definite function.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/draft
format article
status_str draft
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/378038
url http://hdl.handle.net/2072/378038
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Proceedings of the American (Mathematical Society)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 618 p.
application/pdf
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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