The Journal of the Indian Mathematical Society

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Harmonic LP Functions and Quasiharmonic Degeneracy


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1 Department of Mathematics, University of California, Los Angeles 90024, Calif., United States
     

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The class OHLP of Riemannian manifolds which do not carry harmonic LP functions was introduced and its relations to other harmonic null classes discussed in [42]. In the present paper we take up the problem of relations of OHLP to quasiharmonic null classes OQX of Riemannian manifolds, denned by QX = Φ.
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  • Harmonic LP Functions and Quasiharmonic Degeneracy

Abstract Views: 250  |  PDF Views: 1

Authors

Lung Ock Chung
Department of Mathematics, University of California, Los Angeles 90024, Calif., United States
Leo Sario
Department of Mathematics, University of California, Los Angeles 90024, Calif., United States

Abstract


The class OHLP of Riemannian manifolds which do not carry harmonic LP functions was introduced and its relations to other harmonic null classes discussed in [42]. In the present paper we take up the problem of relations of OHLP to quasiharmonic null classes OQX of Riemannian manifolds, denned by QX = Φ.