dc.contributor.author |
Gorbachev, D. |
dc.contributor.author |
Tikhonov, Sergey Yu. |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2011 |
dc.identifier |
https://ddd.uab.cat/record/196681 |
dc.identifier |
urn:oai:ddd.uab.cat:196681 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
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: |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/3.0/ |
dc.subject |
Transformacions de Fourier |
dc.title |
Moduli of smoothness and growth properties of Fourier transforms : two-sided estimates |
dc.type |
Article |
dc.type |
Prepublicació |
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. |