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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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Volume 17, Issue 3


On the classes of functions induced by irregular Carleman–Vekua equations

Valerian Jikia
  • I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2 University St., Tbilisi 0186, Georgia. E-mail:
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Published Online: 2010-07-30 | DOI: https://doi.org/10.1515/gmj.2010.031


In the present paper, special functional spaces are constructed, which are naturally connected with sufficiently wide classes of irregular Carleman–Vekua equations. Their properties used essentially for the investigation of irregular generalized analytic functions, are studied. In constructing these functional spaces, we have to investigate the existence of -primitive functions for special classes.

Keywords.: Irregular Carleman–Vekua equation

About the article

Received: 2010-03-18

Published Online: 2010-07-30

Published in Print: 2010-09-01

Citation Information: Georgian Mathematical Journal, Volume 17, Issue 3, Pages 511–528, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj.2010.031.

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