Mean value surfaces with prescribed curvature form

DOI10.1016/j.matpur.2004.03.001zbMath1079.53057arXivmath/0406344OpenAlexW2161958809WikidataQ59288518 ScholiaQ59288518MaRDI QIDQ2569347

Yolanda Perdomo G., Haakan Hedenmalm

Publication date: 18 October 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406344

zbMATH Keywords

mean value propertyisothermal metricsprescribed curvature form

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (14)

Random weighted shifts on Hilbert spaces of analytic functions ⋮ Poisson integrals for standard weighted Laplacians in the unit disc ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ A Beurling type theorem in weighted Bergman spaces ⋮ The polyanalytic Ginibre ensembles ⋮ Several properties of \(\alpha \)-harmonic functions in the unit disk ⋮ Weighted integrability of polyharmonic functions ⋮ Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces ⋮ Random weighted shifts ⋮ A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc ⋮ The wandering subspace property and Shimorin's condition of shift operator on the weighted Bergman spaces ⋮ A characteristic operator function for the class of \(n\)-hypercontractions ⋮ Regularity in a singular biharmonic Dirichlet problem ⋮ An expansive multiplier property for operator-valued Bergman inner functions

Cites Work

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• Remarks on strongly elliptic partial differential equations
• A factorization theorem for square area-integrable analytic functions.
• On the failure of optimal factorization for certain weighted bergman spaces
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces
• Theory of Reproducing Kernels
• Compact Riemann surfaces. An introduction to contemporary mathematics

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