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Sobolev regularity for the infinite-dimensional Monge-Ampère equation

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References

  1. D. Feyel and A. S. Üstünel, Probab. Theory Rel. Fields 128, 347–385 (2004).

    Article  MATH  Google Scholar 

  2. A. V. Kolesnikov, J. Math. Pures Appl. (9) 83, 1373–1404 (2004).

    MathSciNet  MATH  Google Scholar 

  3. V. I. Bogachev and A. V. Kolesnikov, Infinite Dimension. Anal. Quantum Probab. Rel. Topics 8, 547–572 (2005).

    Article  MathSciNet  MATH  Google Scholar 

  4. V. I. Bogachev and A. V. Kolesnikov, Dokl. Math. 73, 1–5 (2006).

    Article  MATH  Google Scholar 

  5. C. Villani, Topics in Optimal Transportation (Am. Math. Soc., Providence, R.I., 2003).

    MATH  Google Scholar 

  6. D. Feyel and A. S. Üstünel, J. Funct. Anal. 176, 400–428 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  7. A. V. Kolesnikov, ArXiv:1007.1103.

  8. V. I. Bogachev, Gaussian Measures (Am. Math. Soc., Providence, R.I., 1998).

    MATH  Google Scholar 

  9. V. I. Bogachev, Differentiable Measures and the Malliavin Calculus (Am. Math. Soc., Providence, R.I., 2010).

    MATH  Google Scholar 

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Correspondence to V. I. Bogachev.

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Published in Russian in Doklady Akademii Nauk, 2012, Vol. 444, No. 2, pp. 131–136.

The article was translated by the authors.

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Bogachev, V.I., Kolesnikov, A.V. Sobolev regularity for the infinite-dimensional Monge-Ampère equation. Dokl. Math. 85, 331–335 (2012). https://doi.org/10.1134/S1064562412030088

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