On the interpolation between certain theorems on fourier transforms

It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequality ([1],Theorem 74) asserts that its Fourier transform f(u) belongs to LP1 (R), where1/P1 +1/P = 1

Autores:
Younis, M. S.
Tipo de recurso:
Article of journal
Fecha de publicación:
1988
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43220
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43220
http://bdigital.unal.edu.co/33318/
Palabra clave:
Hausdorff-Young inequality
Fourier transform
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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_abf2Younis, M. S.59e7cf1f-39b3-472b-876a-e15d3af0b97e3002019-06-28T11:42:19Z2019-06-28T11:42:19Z1988https://repositorio.unal.edu.co/handle/unal/43220http://bdigital.unal.edu.co/33318/It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequality ([1],Theorem 74) asserts that its Fourier transform f(u) belongs to LP1 (R), where1/P1 +1/P = 1application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33121Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 22, núm. 1-4 (1988); 203-208 0034-7426Younis, M. S. (1988) On the interpolation between certain theorems on fourier transforms. Revista Colombiana de Matemáticas; Vol. 22, núm. 1-4 (1988); 203-208 0034-7426 .On the interpolation between certain theorems on fourier transformsArtículo 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/ARTHausdorff-Young inequalityFourier transformORIGINAL33121-122790-1-PB.pdfapplication/pdf1372605https://repositorio.unal.edu.co/bitstream/unal/43220/1/33121-122790-1-PB.pdf9b8de5b2750aaccf66ecf571e8b4126aMD51THUMBNAIL33121-122790-1-PB.pdf.jpg33121-122790-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6414https://repositorio.unal.edu.co/bitstream/unal/43220/2/33121-122790-1-PB.pdf.jpgf5c116d991dc590479cdd097494a01cdMD52unal/43220oai:repositorio.unal.edu.co:unal/432202023-02-11 23:04:46.32Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the interpolation between certain theorems on fourier transforms
title On the interpolation between certain theorems on fourier transforms
spellingShingle On the interpolation between certain theorems on fourier transforms
Hausdorff-Young inequality
Fourier transform
title_short On the interpolation between certain theorems on fourier transforms
title_full On the interpolation between certain theorems on fourier transforms
title_fullStr On the interpolation between certain theorems on fourier transforms
title_full_unstemmed On the interpolation between certain theorems on fourier transforms
title_sort On the interpolation between certain theorems on fourier transforms
dc.creator.fl_str_mv Younis, M. S.
dc.contributor.author.spa.fl_str_mv Younis, M. S.
dc.subject.proposal.spa.fl_str_mv Hausdorff-Young inequality
Fourier transform
topic Hausdorff-Young inequality
Fourier transform
description It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequality ([1],Theorem 74) asserts that its Fourier transform f(u) belongs to LP1 (R), where1/P1 +1/P = 1
publishDate 1988
dc.date.issued.spa.fl_str_mv 1988
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:42:19Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:42:19Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43220
http://bdigital.unal.edu.co/33318/
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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. 22, núm. 1-4 (1988); 203-208 0034-7426
dc.relation.references.spa.fl_str_mv Younis, M. S. (1988) On the interpolation between certain theorems on fourier transforms. Revista Colombiana de Matemáticas; Vol. 22, núm. 1-4 (1988); 203-208 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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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
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institution Universidad Nacional de Colombia
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