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On weighted Fourier inequalities - some new scales of equivalent conditions
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SYSNO ASEP 0544041 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On weighted Fourier inequalities - some new scales of equivalent conditions Author(s) Kufner, Alois (MU-W) RID, SAI
Persson, L. E. (SE)
Samko, N. (RU)Source Title Journal of Mathematical Inequalities. - : Element - ISSN 1846-579X
Roč. 15, č. 2 (2021), s. 879-898Number of pages 20 s. Language eng - English Country HR - Croatia Keywords continuity of the Fourier operator ; Fourier inequalities ; Fourier transform ; Hardy-type inequalities Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000669834500030 EID SCOPUS 85109436645 DOI 10.7153/jmi-2021-15-61 Annotation For Lebesgue spaces on ℝn, we study two-weight p → q-inequalities for Fourier transform. Some sufficient conditions on weights for such inequalities are known for special ranges of parameters p and q. In the same ranges of parameters we show, that in every case each of those conditions can be replaced by infinitely many conditions, even by continuous scales of conditions. We also derive some new such characterizations concerning the Fourier transform in weighted Lorentz spaces. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://dx.doi.org/10.7153/jmi-2021-15-61
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