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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Smoothing invariant is equivalent to harmonic
平滑不变 等价 谐波 调和函数
2023/4/23
It is well known that harmonic function is smoothing invariant when convolved with the standard mollifier, which gives a quick proof of the smoothness of the harmonic function. In this talk, we will c...
15 Years of Reproducible Research in Computational Harmonic Analysis
Computational Harmonic Analysis 15 Years
2015/8/21
Scientific Computation is emerging as absolutely central to the scientific method. Unfortunately, it is error-prone and currently immature: traditional scientific publication is
inc...
On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces
Distance estimates harmonic function unit ball Bergman spaces
2012/5/9
We provide some new estimates for distances in harmonic function spaces of several variables related to mixed norm spaces.Some of them extend previously known assertions in this direction in the unit ...
Radius of Close-to-convexity of Harmonic Functions
Coefficient inequality partial sums radius of univalence analytic univalent convex and starlike harmonic functions
2011/8/24
Abstract: Let ${\mathcal H}$ denote the class of all normalized complex-valued harmonic functions $f=h+\bar{g}$ in the unit disk ${\mathbb D}$, and let $K=H+\bar{G}$ denote the harmonic Koebe function...
On some extremal problems in spaces of harmonic functions
Bergman spaces distance estimates extremal problems harmonic functions
2011/9/19
Abstract: We give solutions to some extremal problems involving distance function in mixed norm spaces of harmonic functions on the unit ball of R^n.
On some new theorems on multipliers in harmonic function spaces in higher dimension II
multipliers spaces of harmonic functions Bergman type mixed norm spaces spherical harmonics
2011/9/5
Abstract: We present new sharp assertions concerning multipliers in various spaces of harmonic functions in the unit ball of $R^n$.
Generalized quasi-Einstein manifolds with harmonic Weyl tensor
Generalized quasi-Einstein harmonic Weyl tensor
2011/2/28
In this paper we introduce the notion of generalized quasi–Einstein manifold, which
generalizes the concepts of Ricci soliton, Ricci almost soliton and quasi–Einstein manifolds. We prove that a compl...
Hölder Continuity of Harmonic Quasiconformal Mappings
Quasiconformal maps harmonic mappings H¨older continuity
2011/1/21
We prove that for harmonic quasiconformal mappings -H¨older continuity on the boundary implies -H¨older continuity of the map itself. Our result holds for the class of uniformly perfect bounded doma...
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...
We prove the following theorem: every quasiconformal harmonic mapping between two plane domains with $C^{1,\alpha}$ ($\alpha<1$), respectively $C^{1,1}$ compact boundary is bi-Lipschitz. The distance ...
Harmonic Sum and Duality
conjugate function convex sets duality gauge harmonic sum inverse sum normal cone shady set star-shaped set
2009/1/13
We consider an operation on subsets of a topological vector space which is closely related to what has been called the inverse addition by R.T. Rockafellar. Applied to closed convex sets, it appears a...
On a Subclass of Harmonic Univalent Functions
Convex harmonic functions Starlike harmonic functions extremal problems
2010/1/22
The class of univalent harmonic functions on the unit disc satisfying the condition is given. Sharp coefficient relations and distortion theorems are given for these functions. In this paper we fin...