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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry
对称性 多次调和函数 残余 蒙日-安培质量
2023/4/13
In this talk, we will study the residual Monge-Ampère mass of a plurisubharmonic function with isolated singularity at the origin in C2. We proved that the residual mass is zero if its Lelong number i...
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Singular integrals self-similar sets removability Heisenberg group
2011/1/20
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
It is proved that the fundamental group of the space of harmonic polynomials of degree n(n ≥ 2), with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically noneq...
Maximal subextensions of plurisubharmonic functions
Maximal subextensions plurisubharmonic functions
2010/12/10
In this paper we are concerned with the problem of local and global subextensions of (quasi-)plurisubharmonic functions from a ”regular”subdomain of a compact K¨ahler manifold. We prove that a precise...
Image Inpainting Based On Coherence Transport With Adapted Distance Functions
Image Processing Image Inpainting Distance Functions
2010/11/26
We discuss an extension of our method Image Inpainting Based on Coherence Transport. For the
latter method the pixels of the inpainting domain have to be serialized into an ordered list. Up till now,...
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
It is well-known that duality in the Monge-Kantorovich transport problem holds true provided that the cost function c : X×Y ! [0,1] is lower semi-continuous or finitely valued, but it may fail otherwi...
SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
FRACTIONAL CALCULUS OPERATORS ANALYTIC FUNCTIONS NEGATIVE COEFFICIENTS
2010/3/17
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class Tn\left(l,a\right) consisting of analytic and univalent functions with neg...