Orthogonal Decomposition in Omega-Weighted Classes of Functions Subharmonic in the Half-Plane

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Stabilization of the Homotopy Groups of the Moduli Spaces of k-Higgs Bundles

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

JERBASHIAN, Armen and VARGAS, Daniel. Orthogonal Decomposition in Omega-Weighted Classes of Functions Subharmonic in the Half-Plane. Rev.colomb.mat. [online]. 2018, vol.52, n.1, pp.33-40. ISSN 0034-7426. https://doi.org/10.15446/recolma.v51n2.74529.

The paper gives a harmonic, (-weighted, half-plane analog of W. Wirtinger's projection theorem and its (1-r)(-weighted extension by M. Djrbashian and also an orthogonal decomposition for some classes of functions subharmonic in the half-plane.

Keywords : Subharmonic functions; orthogonal decomposition; potentials.

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