Functions Satisfying a Weighted Average Property
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Publication:5509240
DOI10.2307/1993973zbMath0136.09404OpenAlexW4246286530MaRDI QIDQ5509240
Publication date: 1965
Full work available at URL: https://doi.org/10.2307/1993973
Related Items (12)
Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure ⋮ Frequently oscillating families related to subharmonic functions ⋮ Generalized Eigenfunctions of the Laplace Operator and Weighted Average Property ⋮ Functions Satisfying a Weighted Average Property. II ⋮ A Mean Value Property of Elliptic Equations with Constant Coefficients ⋮ Boundedness and Dimension for Weighted Average Functions ⋮ Asymptotic mean value Laplacian in metric measure spaces ⋮ Harmonic functions on metric measure spaces ⋮ Polytopes and the mean value property ⋮ Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis ⋮ Exact analytic solutions of transport equations ⋮ Asymptotically mean value harmonic functions in doubling metric measure spaces
Cites Work
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- Mean-values and polyharmonic polynomials
- Bodies for Which Harmonic Functions Satisfy the Mean Value Property
- Functions Satisfying the Mean Value Property
- Shorter Notes: On the Mean-Value Property of Harmonic Functions
- A mean value theorem for polynomials and harmonic polynomials
- A strong maximum principle for parabolic equations
- Mean-Values and Harmonic Polynomials
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