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1-Forms and Polar Decomposition on Harmonic Spaces

Authors :
Michael Hinz
Source :
Potential Analysis. 38:261-279
Publication Year :
2012
Publisher :
Springer Science and Business Media LLC, 2012.

Abstract

The article introduces substitutes for differential 1-forms on self-adjoint harmonic spaces by means of tensor products and energy norms. A representation using indicators of open sets connects 1-forms and topology. Finally, an orthogonal decomposition into exact and harmonic forms is provided, along with a description of harmonic forms in terms of locally harmonic functions.

Subjects

Subjects :
Harmonic coordinates
Subharmonic function
Harmonic function
Mathematical analysis
Open set
Biharmonic equation
Harmonic (mathematics)
Harmonic measure
Analysis
Potential theory
Mathematics

Details

ISSN :
1572929X and 09262601
Volume :
38
Database :
OpenAIRE
Journal :
Potential Analysis
Accession number :
edsair.doi...........31748324f4200d08445e58c0c190c1dd
Full Text :
https://doi.org/10.1007/s11118-012-9272-2
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