A Picard type theorem for quasiregular mappings of R into n-manifolds with many ends.
Ilkka Holopainen, Seppo Rickman (1992)
Revista Matemática Iberoamericana
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Displaying similar documents to “On Dyakonov type theorems for harmonic quasiregular mappings”
A Picard type theorem for quasiregular mappings of R into n-manifolds with many ends.
p-harmonic equation and quasiregular mappings
B. Bojarski, T. Iwaniec (1987)
Banach Center Publications
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A Radó type theorem for -harmonic functions in the plane.
Kilpeläinen, Tero (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sufficient conditions for quasiconformality of harmonic mappings of the upper halfplane onto itself
Andrzej Michalski (2008)
Annales UMCS, Mathematica
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In this paper we introduce a class of increasing homeomorphic self-mappings of R. We define a harmonic extension of such functions to the upper halfplane by means of the Poisson integral. Our main results give some sufficient conditions for quasiconformality of the extension.
Some examples in harmonic analysis
B. Johnson (1973)
Studia Mathematica
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Harmonic morphisms between riemannian manifolds
Bent Fuglede (1978)
Annales de l'institut Fourier
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A harmonic morphism between Riemannian manifolds and is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim dim, since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where vanishes. Every non-constant harmonic morphism is shown to be...
Harmonic functions on Alexandrov spaces and their applications.
Petrunin, Anton (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Proof of a hypothesis on some segments of harmonic series and a new hypothesis
S. Simić (1979)
Matematički Vesnik
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Non-closed thin sets in harmonic analysis
S. Hartman (1975)
Colloquium Mathematicae
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On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
Agnieszka Sibelska (2010)
Annales UMCS, Mathematica
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The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc Δ. In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998-2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazińska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri...