Images of reduction operators

DOI10.1007/BF00256385zbMath0458.30026OpenAlexW2012377432MaRDI QIDQ1151484

Mitsuru Nakai, Moses Glasner

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00256385

zbMATH Keywords

reduction operatoropen Riemann surfaceRoyden harmonic boundaryDirichlet integrals

Mathematics Subject Classification ID

Classification theory of Riemann surfaces (30F20) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (2)

A note on images of reduction operators ⋮ Surjective extension of the reduction operator

Cites Work

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• Extremizations and Dirichlet integrals on Riemann surfaces
• The roles of nondensity points
• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• The equation \(\Delta u=Pu\) on \(E^m\) with almost rotation free \(P\geq O\).
• Order Comparisons on Canonical Isomorphisms
• Canonical isomorphisms of energy finite solutions of Δu = Pu on open Riemann surfaces
• An example on canonical isomorphism
• Boundary Isomorphism between Dirichlet Finite Solutions of Δu = Pu and Harmonic Functions
• Riemannian Manifolds with Discontinuous Metrics and the Dirichlet Integral
• Dirichlet Finite Solutions of Δu = Pu

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