Surjective extension of the reduction operator

DOI10.2140/PJM.1983.104.361zbMath0514.30033OpenAlexW2051645534MaRDI QIDQ1051120

Mitsuru Nakai, Moses Glasner

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102723668

zbMATH Keywords

reduction operatorhyperbolic Riemann surface

Mathematics Subject Classification ID

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

Cites Work

• The roles of sets of nondensity points
• Images of reduction operators
• Extremizations and Dirichlet integrals on Riemann surfaces
• Malformed subregions of Riemann surfaces
• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• 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
• Dirichlet finite solutions of $\Delta u=Pu$ on open Riemann surfaces
• Uniform densities on hyperbolic Riemannl surfaces

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