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Matematicheskie Zametki, 2003, Volume 74, Issue 1, Pages 52–59
DOI: https://doi.org/10.4213/mzm244 (Mi mzm244) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fractional Integrals of Imaginary Order in the Space of Hölder Functions with Polynomial Weight on an Interval

N. K. Karapetyants, L. D. Shankishvili

Rostov State University
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DOI: https://doi.org/10.4213/mzm244
Abstract: We study fractional integrals of imaginary order in the Marchaud form in Hölder space with polynomial weight at finitely many points in the closed interval $[0,1]$. We present conditions on the orders of the weight for which this operator is invertible in the space described above.
Received: 20.04.1999
English version:
Mathematical Notes, 2003, Volume 74, Issue 1, Pages 49–55
DOI: https://doi.org/10.1023/A:1025063031729
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. K. Karapetyants, L. D. Shankishvili, “Fractional Integrals of Imaginary Order in the Space of Hölder Functions with Polynomial Weight on an Interval”, Mat. Zametki, 74:1 (2003), 52–59; Math. Notes, 74:1 (2003), 49–55
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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