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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer Berlin Heidelberg

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DOI

10.1007/978-3-319-31691-8_1

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1432-1823

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Mixed Hessian inequalities and uniqueness in the c

Authors: Sławomir Dinew Chinh H Lu
Publish Date: 2014/10/28
Volume: 279, Issue: 3-4, Pages: 753-766
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Abstract

We prove a general inequality for mixed Hessian measures by global arguments Our method also yields a simplification for the case of complex Monge–Ampère equation Exploiting this and using Kołodziej’s mass concentration technique we also prove the uniqueness of the solutions to the complex Hessian equation on compact Kähler manifolds in the case of probability measures vanishing on mpolar sets

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  1. On profinite groups in which commutators are covered by finitely many subgroups
  2. Stable reduction of curves and tame ramification
  3. Constant mean curvature graphs on exterior domains of the hyperbolic plane
  4. On weighted critical imbeddings of Sobolev spaces
  5. Generalized Liouville differentiation, truncated hypersingular integrals and K -functionals
  6. Polynomial inequalities and universal Taylor series
  7. Computations of the orbifold Yamabe invariant
  8. Grušin operators, Riesz transforms and nilpotent Lie groups
  9. Real K 3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Φ-function
  10. Positive semidefinite diagonal minus tail forms are sums of squares
  11. On the measures of large entropy on a positive closed current
  12. Fano varieties in index one Fano complete intersections
  13. Families over special base manifolds and a conjecture of Campana
  14. On the holomorphic structure of G -orbits in compact hermitian symmetric spaces
  15. Derivations, the Lawrence–Sullivan interval and the Fiorenza–Manetti mapping cone
  16. On the geometry of model almost complex manifolds with boundary
  17. The eta invariant in the doubly Kählerian conformally compact Einstein case
  18. Injectivity radius and diameter of the manifolds of flags in the projective planes
  19. On the invariant distributions of $$C^2$$ circle diffeomorphisms of irrational rotation number
  20. On Hörmander’s solution of the $$\bar{\partial }$$-equation. I
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  22. Harmonic maps of finite uniton number into G 2
  23. On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms
  24. On irregular binomial D -modules
  25. Self-similar solutions for the Schrödinger map equation
  26. Harmonicity of sections of sphere bundles
  27. Cluster categories of type $${\mathbb {A}}_\infty ^\infty $$ and triangulations of the infinite strip
  28. A lower bound on Seshadri constants of hyperplane bundles on threefolds
  29. Saturated fusion systems over $$\mathcal {A}_2$$-groups
  30. Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature
  31. On newforms for Kohnen plus spaces
  32. Cumulants in noncommutative probability theory I. Noncommutative exchangeability systems
  33. Finiteness of the basic intersection cohomology of a Killing foliation
  34. Distributional chaos for operators with full scrambled sets
  35. Packing dimension and Ahlfors regularity of porous sets in metric spaces
  36. Invariance de la Γ-dimension pour certaines familles kählériennes de dimension 3
  37. Effective formulas for the local Łojasiewicz exponent
  38. Stein structures and holomorphic mappings
  39. Actions of arithmetic groups on homology spheres and acyclic homology manifolds
  40. Divergence form operators in Reifenberg flat domains
  41. Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups
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