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An application of the almost-positivity of a class of fourth-order pseudodifferential operators

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Abstract

Using the almost-positivity of a class of fourth-order pseudo-differential operators, we prove the inequality\(L = \sum\nolimits_{j = 1}^m {X_j^* X_j } + X_0 \) where X0,Xj ∃ ψ 1phg (Ω), with Xj,X complex-valued, are given.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA

    Alberto Parmeggiani

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  1. Alberto Parmeggiani
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Correspondence to Alberto Parmeggiani.

Additional information

On leave: Department of Mathematics, University of Bologna, Piazza di Porta S.Donato, 5 40127, Bologna, Italy. Supported by N.A.T.O.-C.N.R. fellowship.

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Parmeggiani, A. An application of the almost-positivity of a class of fourth-order pseudodifferential operators. J. Anal. Math. 71, 41–57 (1997). https://doi.org/10.1007/BF02788021

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  • DOI: https://doi.org/10.1007/BF02788021

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