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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


IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

Online
ISSN
1572-9176
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Volume 19, Issue 2

Issues

Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions

Elke Wolf
Published Online: 2012-05-30 | DOI: https://doi.org/10.1515/gmj-2012-0017

Abstract.

Let be an analytic self-map of the open unit disk in the complex plane and be an analytic map on . Such maps induce a weighted composition operator followed by differentiation acting between the weighted Banach spaces of holomorphic functions. We characterize the boundedness and compactness of such operators in terms of the involved weights as well as the functions and .

Keywords: Weighted composition operators followed by differentiation; weighted Banach spaces of holomorphic functions

About the article

Received: 2011-05-27

Published Online: 2012-05-30

Published in Print: 2012-06-01


Citation Information: Georgian Mathematical Journal, Volume 19, Issue 2, Pages 391–400, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2012-0017.

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© 2012 by Walter de Gruyter Berlin Boston.Get Permission

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