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dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Gorbachev, D.
dc.contributor.author	Tikhonov, Sergey Yu.
dc.date.accessioned	2012-06-21T10:00:33Z
dc.date.available	2012-06-21T10:00:33Z
dc.date.created	2011
dc.date.issued	2011
dc.identifier.uri	http://hdl.handle.net/2072/196879
dc.format.extent	22 p.
dc.language.iso	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation.ispartofseries	Prepublicacions del Centre de Recerca Matemàtica;1092
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	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/3.0/es/
dc.source	RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other	Transformacions de Fourier
dc.title	Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
dc.type	info:eu-repo/semantics/preprint
dc.subject.udc	517 - Anàlisi
dc.embargo.terms	cap
dc.description.abstract	We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[superscript] / T d[superscript] and the weighted tail-type integrals of its Fourier transform/series. Sharpness of obtained results in particular is given by the equivalence results for functions satisfying certain regular conditions. Applications include a quantitative form of the Riemann-Lebesgue lemma as well as several other questions in approximation theory and the theory of function spaces.

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