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On operators commuting with a Pommiez type operator in weighted spaces of entire functions


Authors: O. A. Ivanova and S. N. Melikhov
Translated by: S. V. Kislyakov
Original publication: Algebra i Analiz, tom 28 (2016), nomer 2.
Journal: St. Petersburg Math. J. 28 (2017), 209-224
MSC (2010): Primary 30D15
DOI: https://doi.org/10.1090/spmj/1447
Published electronically: February 15, 2017
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Abstract: A description is presented for continuous linear operators defined on a countable inductive limit of weighted Fréchet spaces of entire functions and commuting with a Pommiez type operator.


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Additional Information

O. A. Ivanova
Affiliation: South Federal University Vorovich Institute of Mathematics, Mechanics, and Computer Science, ul. Mil′chakova 8a, 344090 Rostov-on-Don, Russia
Email: ivolga@sfedu.ru

S. N. Melikhov
Affiliation: South Federal University, Vorovich Institute of Mathematics, Mechanics, and Computer Science, ul. Mil′chakova 8a, 344090 Rostov-on-Don; South Mathematical Institute, ul. Markusa 22, 362027 Vladikavkaz, Russia
Email: melih@math.rsu.ru

DOI: https://doi.org/10.1090/spmj/1447
Keywords: Pommiez operator, commutants, weighted spaces of entire functions
Received by editor(s): June 3, 2015
Published electronically: February 15, 2017
Article copyright: © Copyright 2017 American Mathematical Society