Results 21 to 30 of about 2,185 (268)
Harmonic Mappings of Spheres [PDF]
American Journal of Mathematics, 1972 This thesis is addressed to the following fundamental problem: given a homotopy class of maps between compact Riemannian manifolds N and M, is there a harmonic representative of that class? Eells and Sampson have given a general existence theorem for the case that M has no positive sectional curvatures [ESJ.\ud Otherwise, very little is known ...
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Integral Means and Arc length of Starlike Log-harmonic Mappings
Abstract and Applied Analysis, 2011 We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
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The Properties of a New Subclass of Harmonic Univalent Mappings
Abstract and Applied Analysis, 2013 We introduced a new subclass of univalent harmonic functions defined by the shear construction in the present paper. First, we showed that the convolutions of two special subclass harmonic mappings are convex in the horizontal direction.
Zhi-Hong Liu, Ying-Chun Li
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Characterizations of Bloch-Type Spaces of Harmonic Mappings
Journal of Function Spaces, 2019 We study the Banach space BHα (α>0) of the harmonic mappings h on the open unit disk D satisfying the condition supz∈D(1-z2)α(hzz+hz¯z)0 the mappings in BHα can be characterized in terms of a Lipschitz condition relative to the metric defined by dH,α(z ...
Munirah Aljuaid, Flavia Colonna
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International Journal of Mathematics and Mathematical Sciences, 2009 We first obtain the relations of local univalency, convexity, and linear connectedness between analytic functions and their corresponding affine harmonic mappings.
Sh. Chen, S. Ponnusamy, X. Wang
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Some Geometric Characterizations of a Certain Class of Log-Harmonic Mappings
MathematicsThis article investigates structural properties of a class of log-harmonic mappings associated with starlike analytic functions in the unit disk. Beginning with a general representation of the log-harmonic mappings, we use sharp inequalities using ...
Madhusmita Mohanty +2 more
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The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings
International Journal of Mathematics and Mathematical Sciences, 2011 Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
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On Characterizations of Weighted Harmonic Bloch Mappings and Its Carleson Measure Criteria
Journal of Function Spaces, 2023 For α>0, several characterizations of the α-Bloch spaces of harmonic mappings are given. We also obtain several similar characterizations for the closed separable subspace. As an application, we give relations between BHα and Carleson’s measure.
Munirah Aljuaid, M. A. Bakhit
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Limits of $\alpha$-harmonic maps [PDF]
Journal of Differential Geometry, 2020 Critical points of approximations of the Dirichlet energy \`{a} la Sacks-Uhlenbeck are known to converge to harmonic maps in a suitable sense. However, we show that not every harmonic map can be approximated by critical points of such perturbed energies. Indeed, we prove that constant maps and the rotations of $S^2$ are the only critical points of $E_{\
Tobias Lamm +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski +59 more
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