Abstract:
We suggest natural conditions for embedding the weight classes of meromorphic functions N{ω} of M. M. Dzhrbashyan. Some of these conditions are sufficient for the solubility of his moment problem and the Volterra integral equation of the first kind.
\Bibitem{Jer99}
\by A.~M.~Dzhrbashyan
\paper Embedding the classes~$N\{\omega\}$ of Nevanlinna type
\jour Izv. Math.
\yr 1999
\vol 63
\issue 4
\pages 687--705
\mathnet{http://mi.mathnet.ru/eng/im521}
\crossref{https://doi.org/10.1070/im1999v063n04ABEH000252}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1717679}
\zmath{https://zbmath.org/?q=an:0966.31001}
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Linking options:
https://www.mathnet.ru/eng/im521
https://doi.org/10.1070/im1999v063n04ABEH000252
https://www.mathnet.ru/eng/im/v63/i4/p59
This publication is cited in the following 4 articles:
Armen M. Jerbashian, Joel E. Restrepo, Frontiers in Mathematics, Functions of Omega-Bounded Type, 2024, 3
Joel E. Restrepo, Durvudkhan Suragan, Trends in Mathematics, Harmonic Analysis and Partial Differential Equations, 2022, 167
J. E. Restrepo, “On Some Subclasses of Delta-Subharmonic Functions of Bounded Type in the Disc”, J. Contemp. Mathemat. Anal., 53:6 (2018), 346
A. M. Jerbashian, J. E. Restrepo, “On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane”, J. Contemp. Mathemat. Anal., 51:2 (2016), 79
Citation in format AMSBIB
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