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Title of Journal: Potential Anal

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Abbravation: Potential Analysis

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Springer Netherlands

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DOI

10.1002/chin.200935055

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1572-929X

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Complementability of Spaces of Harmonic Functions

Authors: Jiří Spurný
Publish Date: 2008/10/01
Volume: 29, Issue: 3, Pages: 271-302
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Abstract

Let U be a bounded open set of the Euclidean space ℝ d and let HU denote the space of all realvalued continuous functions on overline U that are harmonic on U We present a sufficient condition on the set ∂ reg U of all regular points of U that ensures that HU is complemented in mathcal CbigoverlineUbig We also present examples showing that this condition is not necessary The proof of the positive result is based upon a general result on complementability of a simplicial function space in a mathcal CK space

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  2. Approximation of Invariant Measures for Regime-switching Diffusions
  3. Functional Inequalities and Hamilton–Jacobi Equations in Geodesic Spaces
  4. Brownian Motion and the Distance to a Submanifold
  5. Stability for Parabolic Quasiminimizers
  6. Equilibrium Diffusion on the Cone of Discrete Radon Measures
  7. Global Heat Kernel Estimates for Symmetric Markov Processes Dominated by Stable-Like Processes in Exterior C 1, η Open Sets
  8. Intertwining Relations for One-Dimensional Diffusions and Application to Functional Inequalities
  9. Integrals Along Rough Paths via Fractional Calculus
  10. Mosco Type Convergence of Bilinear Forms and Weak Convergence of n -Particle Systems
  11. Remarks on a Constrained Optimization Problem for the Ginibre Ensemble
  12. On Calabi’s Strong Maximum Principle via Local Semi-Dirichlet Forms
  13. On States of Total Weighted Occupation Times of a Class of Infinitely Divisible Superprocesses on a Bounded Domain
  14. Uniqueness for Integro-PDE in Hilbert Spaces
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