Abstract
A new kind of weight-\( A_r^{\lambda _3 } \)(λ 1, λ 2, Ω)-weight is used to prove the local and global integral inequalities for conjugate \( \mathcal{A} \)-harmonic tensors, which can be regarded as generalizations of the classical results. Some applications of the above results to quasiregular mappings are given.
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Supported by the Natural Science Foundation of Hebei Province(07M003) and the Doctoral Fund of Hebei Provincial Commission of Education(B2004103).
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Gao, Hy., Hou, Lr. Some new integral inequalities for conjugate \( \mathcal{A} \)-harmonic tensors. Appl. Math. J. Chin. Univ. 23, 43–50 (2008). https://doi.org/10.1007/s11766-008-0106-3
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DOI: https://doi.org/10.1007/s11766-008-0106-3