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Greenian potentials and concavity

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References

  1. Borell, C.: Hitting probabilities of killed Brownian motion; a study on geometric regularity. Ann. Sci. Ec. Norm. Sup.17, 451–467 (1984)

    Google Scholar 

  2. Borell, C.: Capacitary inequalities of the Brunn-Minkowski type. Math. Ann.263, 179–184 (1983)

    Google Scholar 

  3. Borell, C.: Convex set functions ind-space. Period. Math. Hungar.6, 111–136 (1975)

    Google Scholar 

  4. Borell, C.: Convexity of measures in certain convex cones in vector space σ-algebras. Math. Scand.53, 125–144 (1983)

    Google Scholar 

  5. Borell, C.: Convex measures on locally convex spaces. Ark. Mat.12, 239–252 (1974)

    Google Scholar 

  6. Brascamp, H.J., Lieb, E.H.: Some inequalities of Gaussian measures. In: Functional integral and its applications. Ed. A.M. Arthurs. Oxford: Clarendon Press 1975

    Google Scholar 

  7. Brascamp, H.J., Lieb, E.H.: On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Funct. Anal.22, 366–389 (1976)

    Google Scholar 

  8. Chorin, A.J., Marsden, J.E.: A mathematical introduction to fluid mechanics. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  9. Dynkin, E.B.: Markov Processes. Vol. I–II. Berlin, Göttingen, Heidelberg: Springer 1965

    Google Scholar 

  10. Korevaar, N.J.: Convex solutions to non-linear elliptic and parabolic boundary value problems. Indiana Univ. Math. J.32, 603–614 (1983)

    Google Scholar 

  11. Pólya, G., Szegö, G.: Isoperimetric inequalities in mathematical physics. Princeton: Princeton University Press 1951

    Google Scholar 

  12. Port, S.C., Stone, C.J.: Brownian motion and classical potential theory. New York, San Francisco, London: Academic Press 1978

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Case Western Reserve University, 44106, Cleveland, OH, USA

    Christer Borell

  2. Department of Mathematics, Chalmers University of Technology, S-41296, Göteborg, Sweden

    Christer Borell

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  1. Christer Borell
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Borell, C. Greenian potentials and concavity. Math. Ann. 272, 155–160 (1985). https://doi.org/10.1007/BF01455935

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  • DOI: https://doi.org/10.1007/BF01455935

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