On the pompeiu operator of higher order and applications

In the present paper we investigate the -as well as L p -properties of some class of operators, which generalize the Pompeiu operator T and the Vekua operator ∏[10], related to higher order derivatives. Also these operators will be used to represent the solutions of Riemann - Hilbert problems for pa...

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Bibliographic Details
Published in:Complex variables, theory & application theory & application, 1997-06, Vol.32 (3), p.233-261
Main Authors: Akal, M., Begehr, H.
Format: Article
Language:English
Subjects:
higher-order equations
Pompeiu operator
Vekua operator
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Summary:In the present paper we investigate the -as well as L p -properties of some class of operators, which generalize the Pompeiu operator T and the Vekua operator ∏[10], related to higher order derivatives. Also these operators will be used to represent the solutions of Riemann - Hilbert problems for partial differential equations of higher order in the complex plane.
ISSN:0278-1077
1563-5066
DOI:10.1080/17476939708814994