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Conjugate A-harmonic tensor and A-harmonic function Dual Weight Integral Inequalities

Author: ShangXiuYin
Tutor: GaoHongYa
School: Hebei University
Course: Basic mathematics
Keywords: Hardy-Littlewood inequality A- harmonic tensors H (o ¨) lder inequality Arλ3 λ1, λ2, Ω rights Quasiregular mappings Poincaré Inequality
CLC: O174.3
Type: Master's thesis
Year: 2010
Downloads: 12
Quote: 0
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Abstract


Weighted Integral Inequalities are some important Inequality they geometric function theory and nonlinear analysis has important applications . Now has been weighted integral inequality Most just parameter 0 lt; α lt; 1 the conclusion , but for α = 1:00 the situation has not been extensively studied in this paper , first introduced the right kind of function , which gives the dual definition of the right , and then with the results of previous studies obtained α = 1 when a? reconcile tensors a r λ 3 (λ 1 , λ 2 , Ω) double Weighted Hardy-Littlewood inequality and α = 1, 0 lt; α lt; 1时a? harmonic function of the local a r λ 3 (λ 1 , λ 2 , Ω) double right Poincaré Inequality . Finally, we get results to quasiregular mappings on .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions > Harmonic functions and potential theory
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