共查询到20条相似文献,搜索用时 15 毫秒
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Derchyi Wu 《Annals of Global Analysis and Geometry》1997,15(2):133-139
We prove an existing theorem of homotopic harmonic diffeomorphisms between complete surfaces of finite total curvature and nontrivial genus. This is a generalization of a theorem of Jost and Schoen [4]. 相似文献
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We show a bridge principle for harmonic diffeomorphisms between closed surfaces with higher genus. 相似文献
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《复变函数与椭圆型方程》2012,57(2):175-187
We prove a theorem for harmonic diffeomorphisms between the unit disc and a convex Jordan domain, which is a generalization of Heinz theorem [E. Heinz (1959). On one-to-one harmonic mappings. Pacific J . Math ., 9 , 101-105] for harmonic diffeomorphisms of the unit disc onto itself. We give a number of corollaries of the theorem we prove. 相似文献
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Stevo Stević 《Mediterranean Journal of Mathematics》2008,5(1):61-76
In this paper we investigate harmonic Hardy-Orlicz and Bergman-Orlicz b
φ,α
(B) spaces, using an identity of Hardy-Stein type. We also extend the notion of the Lusin property by introducing (φ, α)-Lusin property with respect to a Stoltz domain. The main result in the paper is as follows: Let be a nonnegative increasing convex function twice differentiable on (0, ∞), and u a harmonic function on the unit ball B in . Then the following statements are equivalent:
相似文献
(a) | . |
(b) | . |
(c) | u has (φ, α)-Lusin property with respect to a Stoltz domain with half-angle β, for any . |
(d) | u has (φ, α)-Lusin property with respect to a Stoltz domain with half-angle β, for some . |
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Diffeomorphisms with persistency 总被引:2,自引:0,他引:2
Kazuhiro Sakai 《Proceedings of the American Mathematical Society》1996,124(7):2249-2254
The interior of the set of all diffeomorphisms satisfying Lewowicz's persistency is characterized as the set of all diffeomorphisms satisfying Axiom A and the strong transversality condition.
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The aim of this paper is to investigate some properties of planar harmonic and biharmonic mappings. First, we use the Schwarz
lemma and the improved estimates for the coefficients of planar harmonic mappings to generalize earlier results related to
Landau’s constants for harmonic and biharmonic mappings. Second, we obtain a new Landau’s Theorem for a certain class of biharmonic
mappings. At the end, we derive a relationship between the images of the linear connectivity of the unit disk
\mathbbD{\mathbb{D}} under the planar harmonic mappings f=h+[`(g)]{f=h+\overline{g}} and under their corresponding analytic counterparts F = h − g. 相似文献
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K. L. Avetisian 《Analysis Mathematica》2000,26(3):161-174
In this paper, we establish certain embedding theorems and integral representations in weighted classes of functions harmonic or holomorphic in the unit disk of the complex plane. In our representations, we use the Lipschitz classes of O. V. Besov on the unit circle. 相似文献
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Jinhai Chen 《Journal of Optimization Theory and Applications》2012,154(3):818-829
In this paper, we use continuation technique to obtain estimates on the domain of invertibility for a diffeomorphism. We then apply these estimates to implicit function theorems. Our estimates are more feasible and sharper than those known in the literature. 相似文献
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《European Journal of Operational Research》1986,24(1):85-90
This paper illustrates the usefulness of state transformations in differential games. It is shown that different state diffeomorphisms give birth to closed-loop Nash equilibrium candidates with different control and state value. 相似文献
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Let A be a d×d expansive matrix with |detA|=2. An A-wavelet is a function $\psi\in L^{2}(\mathbb{R}^{d})$ such that $\{2^{\frac{j}{2}}\psi(A\cdot-k):\,j\in \mathbb{Z},\,k\in \mathbb{Z}^{d}\}$ is an orthonormal basis for $L^{2}(\mathbb{R}^{d})$ . A measurable function f is called an A-wavelet multiplier if the inverse Fourier transform of $f\hat{\psi}$ is an A-wavelet whenever ψ is an A-wavelet, where $\hat{\psi}$ denotes the Fourier transform of ψ. A-scaling function multiplier, A-PFW multiplier, semi-orthogonal A-PFW multiplier, MRA A-wavelet multiplier, MRA A-PFW multiplier and semi-orthogonal MRA A-PFW multiplier are defined similarly. In this paper, we prove that the above seven classes of multipliers are equivalent, and obtain a characterization of them. We then prove that if the set of all A-wavelet multipliers acts on some A-scaling function (A-wavelet, A-PFW, semi-orthogonal A-PFW, MRA A-wavelet, MRA A-PFW, semi-orthogonal MRA A-PFW), the orbit is arcwise connected in $L^{2}(\mathbb{R}^{d})$ , and that if the generator of an orbit is an MRA A-PFW, the orbit is equal to the set of all MRA A-PFWs whose Fourier transforms have same module, and is also equal to the set of all MRA A-PFWs with corresponding pseudo-scaling functions having the same module of their Fourier transforms. 相似文献
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We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity
type conditions cannot map a pseudoholomorphic disc in the boundary to a single point. This can be viewed as an almost complex
analogue of a well known theorem of J. E. Fornaess. 相似文献
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Nobuya Watanabe 《Geometric And Functional Analysis》2007,17(1):320-331
We obtain results on the growth sequences of the differential for iterations of circle diffeomorphisms without periodic points.
Received: June 2005 Revision: December 2005 Accepted: February 2006 相似文献
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Summary. We investigate the inverse ODE problem of finding a vector field such that the time one map associated to its flow coincides with a given diffeomorphism. Using a constructive approach we solve this problem for a class of diffeomorphisms having a globally attracting fixed point. Furthermore we consider how the solution fields depend on the diffeomorphism. As an example we show that for certain parameters, the Hénon map is the time one map of a two dimensional flow. 相似文献
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This paper introduces the notion of robust hyperbolicity along periodic orbits homoclinically related to p (RNUHP) for conservative diffeomorphisms. It is proved that if f ∈ Diff1+ m (M) is RNUHP, then f is Anosov. It is also shown that f admits a dominated splitting, provided that f is expansive conservative stable. 相似文献
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