From Hörmander’s L 2 -estimates to partial positivity

نویسندگان

چکیده

In this article, using a twisted version of Hörmander’s L 2 -estimate, we give new characterizations notions partial positivity, which are uniform q-positivity and RC-positivity. We also discuss the definition for singular Hermitian metrics.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some L* Estimates for Partial Differential Equations

to hold for functions u satisfying given (possibly void) boundary conditions, where the Ak are linear partial differential operators, p is greater than one, and || • j | , , 3 , is an L p norm defined for all real values of 5. When 5 is a non-negative integer, ||w||8fl, is essentially the sum of the L norms of u and all its derivatives up to order s. We do not require that the A * be of the sam...

متن کامل

0 Ju l 2 00 6 Combinatorial Laplacians and Positivity Under Partial Transpose

Density matrices of graphs are combinatorial laplacians normalized to have trace one (Braunstein et al. Phys. Rev. A, 73:1, 012320 (2006)). This work deals with properties of density matrices of graphs and indicates some venues for future research in this subject. Namely, we prove that the condition called degree-criterion, which was conjectured to be necessary and sufficient for separability o...

متن کامل

A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation

In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.

متن کامل

Partial-Fraction Decomposition Approach to the M/H2/2 Queue

Here, a two server queueing system with Poisson arrivals and two different types of customers (M/H2/2 queue) is analyzed. A novel straightforward method is presented to acquire the exact and explicit forms of the performance measures. First, the steady state equations along with their Z-transforms are derived for the aforementioned queueing system. Using some limiting behaviors of the steady-st...

متن کامل

Total Positivity in Partial Flag Manifolds

The projective space of Rn has a natural open subset: the set of lines spanned by vectors with all coordinates > 0. Such a subset can be defined more generally for any partial flag manifold of a split semisimple real algebraic group. The main result of the paper is that this subset can be defined by algebraic equalities and inequalities. Let G be a simply connected semisimple algebraic group ov...

متن کامل

ذخیره 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: Comptes Rendus Mathematique

سال: 2021

ISSN: ['1631-073X', '1778-3569']

DOI: https://doi.org/10.5802/crmath.168