On characterizations of unique extremality

In this paper, we make some further considerations of the characteristic conditions of (infinitesimally) unique extremality for Beltrami coefficients obtained by Bozin et al., and find some sufficient conditions simpler in form for a Beltrami coefficient μ with nonconstant absolute value to be (infi...

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Veröffentlicht in:Journal of mathematical analysis and applications Jg. 273; H. 2; S. 283 - 293
Hauptverfasser: Zhu, Huacheng, Chen, Jixiu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: San Diego, CA Elsevier Inc 15.09.2002
Elsevier
Schlagworte:
Algebra
Beltrami coefficient
Exact sciences and technology
Field theory and polynomials
Functional analysis
Infinitesimally uniquely extremal
Mathematical analysis
Mathematics
Sciences and techniques of general use
Several complex variables and analytic spaces
Strebel point
Uniquely extremal
Strebel point
Infinitesimally uniquely extremal
Uniquely extremal
Beltrami coefficient
Complex function
Coefficient
Dilatation
Unique extremality
Complex space
Extremum problem
ISSN:0022-247X, 1096-0813
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Abstract In this paper, we make some further considerations of the characteristic conditions of (infinitesimally) unique extremality for Beltrami coefficients obtained by Bozin et al., and find some sufficient conditions simpler in form for a Beltrami coefficient μ with nonconstant absolute value to be (infinitesimally) uniquely extremal.
AbstractList In this paper, we make some further considerations of the characteristic conditions of (infinitesimally) unique extremality for Beltrami coefficients obtained by Bozin et al., and find some sufficient conditions simpler in form for a Beltrami coefficient μ with nonconstant absolute value to be (infinitesimally) uniquely extremal.
Author Chen, Jixiu
Zhu, Huacheng
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  email: chenjx@online.sh.cn
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Cites_doi 10.1007/BF02788704
10.5186/aasfm.1976.0229
10.1007/BF02786734
10.1007/BF02788705
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Issue 2
Keywords Strebel point
Infinitesimally uniquely extremal
Uniquely extremal
Beltrami coefficient
Complex function
Coefficient
Dilatation
Unique extremality
Complex space
Extremum problem
Language English
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References Reich (BIB004) 1998; 75
Reich, Strebel (BIB006) 1974
Lakic (BIB002) 1997
Strebel (BIB007) 1976; 30
Bozin, Lakic, Markovic, Mateljevic (BIB001) 1998; 75
Reich (BIB003) 1976; 2
Reich (BIB005) 2000; XX
Strebel (10.1016/S0022-247X(02)00218-4_BIB007) 1976; 30
Reich (10.1016/S0022-247X(02)00218-4_BIB006) 1974
Lakic (10.1016/S0022-247X(02)00218-4_BIB002) 1997
Reich (10.1016/S0022-247X(02)00218-4_BIB005) 2000; XX
Reich (10.1016/S0022-247X(02)00218-4_BIB003) 1976; 2
Reich (10.1016/S0022-247X(02)00218-4_BIB004) 1998; 75
Bozin (10.1016/S0022-247X(02)00218-4_BIB001) 1998; 75
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  article-title: An extremum problem for analytic functions with area norm
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  article-title: Non-uniquely extremal quasiconformal mappings
  publication-title: Libertas Math.
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Snippet In this paper, we make some further considerations of the characteristic conditions of (infinitesimally) unique extremality for Beltrami coefficients obtained...
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SubjectTerms Algebra
Beltrami coefficient
Exact sciences and technology
Field theory and polynomials
Functional analysis
Infinitesimally uniquely extremal
Mathematical analysis
Mathematics
Sciences and techniques of general use
Several complex variables and analytic spaces
Strebel point
Uniquely extremal
Title On characterizations of unique extremality
URI https://dx.doi.org/10.1016/S0022-247X(02)00218-4
Volume 273
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