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Matematicheskie Zametki, 2023, Volume 113, Issue 3, Pages 360–373
DOI: https://doi.org/10.4213/mzm13791 (Mi mzm13791) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Riesz Transform for the One-Dimensional $(k,1)$-Generalized Fourier Transform

V. I. Ivanov

Tula State University
Full-text PDF (522 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/mzm13791
Abstract: For the $(k,1)$-generalized Fourier transform on the real line $\mathbb{R}$, the Riesz transform is determined. For this transform, $L^p$-inequalities with power and piecewise power weights are proved for $1<p<\infty$.
Keywords: weight function, generalized Fourier transform, Riesz transform.
Funding agency Grant number
Russian Science Foundation 18-11-00199
This work was supported by the Russian Science Foundation under grant no. 18-11-00199, https://rscf.ru/project/18-11-00199/.
Received: 31.10.2022
Published: 27.02.2023
English version:
Mathematical Notes, 2023, Volume 113, Issue 3, Pages 356–367
DOI: https://doi.org/10.1134/S0001434623030057
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 42A38
Language: Russian
Citation: V. I. Ivanov, “Riesz Transform for the One-Dimensional $(k,1)$-Generalized Fourier Transform”, Mat. Zametki, 113:3 (2023), 360–373; Math. Notes, 113:3 (2023), 356–367
Citation in format AMSBIB
\Bibitem{Iva23}
\by V.~I.~Ivanov
\paper Riesz Transform for the One-Dimensional $(k,1)$-Generalized Fourier Transform
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 3
\pages 360--373
\mathnet{http://mi.mathnet.ru/mzm13791}
\crossref{https://doi.org/10.4213/mzm13791}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4582558}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 3
\pages 356--367
\crossref{https://doi.org/10.1134/S0001434623030057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85160343864}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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