On weighted estimates for some systems of partial differential operators (Q788187)

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scientific article; zbMATH DE number 3842347
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On weighted estimates for some systems of partial differential operators
scientific article; zbMATH DE number 3842347

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    On weighted estimates for some systems of partial differential operators (English)
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    1983
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    In this paper it is introduced and studied a class of weighted Sobolev spaces and a related notion of subellipticity that allows an extension of the Carleman method of \textit{A. Andreotti} and \textit{E. Vesentini} [Inst. Haut. Etud. Sci., Publ. Math. No.25, 81-130, Erratum 27, 757-758 (1965; Zbl 0138.066)] for the Dolbeault complex to more general differential complexes. Applications are given to some constant coefficients complexes.
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    weighted estimates
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    weighted Sobolev spaces
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    subelliptic estimates
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    differential complexes
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    Carleman method
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    constant coefficients
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