The range of the complex Monge-Ampere operator II
نویسندگان
چکیده
منابع مشابه
The Dirichlet Problem for Degenerate Complex Monge-ampere Equations
The Dirichlet problem for a Monge-Ampère equation corresponding to a nonnegative, possible degenerate cohomology class on a Kähler manifold with boundary is studied. C1,α estimates away from a divisor are obtained, by combining techniques of Blocki, Tsuji, Yau, and pluripotential theory. In particular, C1,α geodesic rays in the space of Kähler potentials are constructed for each test configurat...
متن کاملContinuity of the Complex Monge-Ampère Operator
Let Ω be an open subset in C. PSH(Ω) will stand for the set of all plurisubharmonic (psh) functions on Ω. We use the standard notations d = ∂ + ∂ and d = i (∂ − ∂). The complex Monge-Ampère operator (dd) is, via integrations by parts, well defined on PSH(Ω) ∩ Lloc(Ω) and is continuous under monotone limits, that is, (dd uj) n → (ddu) in the sense of currents if the monotone sequence of function...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولDegenerate Monge-Ampere Equations over Projective Manifolds
In this thesis, we study degenerate Monge-Ampere equations over projective manifolds. The main degeneration is on the cohomology class which is Kähler in classic cases. Our main results concern the case when this class is semi-ample and big with certain generalization to more general cases. Two kinds of arguments are applied to study this problem. One is maximum principle type of argument. The ...
متن کاملA non local Monge-Ampere equation
We introduce a non local analog to the Monge-Ampere operator and show some of its properties. We prove that a global problem involving this operator has C solutions in the full space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1995
ISSN: 0022-2518
DOI: 10.1512/iumj.1995.44.2007