Result: H-B Theorems of Cauchy Integral Operators in Clifford Analysis: H-B theorems of Cauchy integral operators in Clifford analysis

Title:
H-B Theorems of Cauchy Integral Operators in Clifford Analysis: H-B theorems of Cauchy integral operators in Clifford analysis
Authors:
Yufeng Wang, Zhongxiang Zhang
Source:
Advances in Applied Clifford Algebras. 35
Publisher Information:
Springer Science and Business Media LLC, 2025.
Publication Year:
2025
Subject Terms:
Functions of hypercomplex variables and generalized variables, Series solutions to PDEs, Cauchy integral operator, Clifford algebra, generalized Hölder norm, Harmonic, subharmonic, superharmonic functions in higher dimensions
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1661-4909
0188-7009
DOI:
10.1007/s00006-025-01371-0
Rights:
Springer Nature TDM
Accession Number:
edsair.doi.dedup.....4793c24b056dcc1b9920f4dd8470e8c9
Database:
OpenAIRE

Further Information

The authors of this paper verify the boundedness of the Cauchy-type integral operators under the generalised Hölder norm in Clifford analysis, which are called H-B theorems of the Cauchy integral operators in Clifford analysis. The results presented in the paper are built upon known results in Clifford analysis. Consequently, the authors provide an improvement and refinement of known estimates. Section 5 contains the main part of the paper, where a generalised Muskhelishvili theorem is proved at first, and after that H-B theorems in Clifford setting are presented.