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http://dx.doi.org/10.4134/BKMS.b160905

RIQUIER AND DIRICHLET BOUNDARY VALUE PROBLEMS FOR SLICE DIRAC OPERATORS  

Yuan, Hongfen (School of Mathematics and Physics Hebei University of Engineering)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 149-163 More about this Journal
Abstract
In recent years, the study of slice Dirac operators has attracted more and more attention in the literature. In this paper, Almansitype decompositions for null solutions to the iterated slice Dirac operator and the generalized slice Dirac operator are obtained without a star-like domain centered at the origin. As applications, we investigate Riquier type problems and Dirichlet type problems in the theory of slice monogenic functions.
Keywords
slice Dirac operator; Euler operator; generalized slice Dirac operator; Riquier problem; Dirichlet problem;
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