Abstract
The classical Riesz Decomposition Theorem is a powerful tool describing superharmonic functions on compact subsets of \({\mathbb R}^{n}\). There is also the global version of this result dealing with functions superharmonic in \({\mathbb R}^{n}\) and satisfying an additional condition. Recently, a generalization of this result for superbiharmonic functions in \({\mathbb R}^{n}\) was obtained by (J. Anal. Math. 60, 113–133 2006). We consider its further generalization for m-superharmonic functions.
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Tovstolis, A.V. On Riesz Decomposition for Super-Polyharmonic Functions in \({\mathbb R}^{n}\) . Potential Anal 43, 341–360 (2015). https://doi.org/10.1007/s11118-015-9474-5
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DOI: https://doi.org/10.1007/s11118-015-9474-5