Bergman theory for the inhomogeneous Cimmino system

نویسندگان

چکیده

We first prove a Cauchy's integral theorem and Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs attention towards some applications mentioned results, dealing in particular with four kinds weighted Bergman spaces, reproducing kernels, projection conformal invariant properties.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2022.126681