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Continuity of certain pseudodifferential operators in spaces of generalized smoothness

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Abstract

We investigate the continuity of a pseudodifferential operator in some spaces of generalized smoothness. Some properties of spaces of generalized smoothness and generalized Lipschitz spaces are established.

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Authors and Affiliations

  1. Glushkov Institute of Cybernetics, Ukrainian Academy of Sciences, Kiev

    V. P. Knopova

Authors
  1. V. P. Knopova
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 638–652, May, 2006.

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Knopova, V.P. Continuity of certain pseudodifferential operators in spaces of generalized smoothness. Ukr Math J 58, 718–736 (2006). https://doi.org/10.1007/s11253-006-0097-2

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  • DOI: https://doi.org/10.1007/s11253-006-0097-2

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