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Boundedness conditions and the norm of the operator of internal superposition in the space of vector functions

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Literature cited

  1. N. Dunford and J. T. Schwartz, Linear Operators, Part I: General Theory, Interscience, New York (1958).

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  2. M. E. Drakhlin, “Equations with the internal superposition operator,” Author's Abstract of Doctoral Dissertation, Sverdlovsk (1986).

  3. N. Burbaki (N. Bourbaki), Integration. Vector Integration. Haar Measure. Convolution and Representations [Russian translation], Nauka, Moscow (1970).

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Authors and Affiliations

  1. V. I. Lenin Belorussian State University, Belarus

    A. B. Antonevich

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  1. A. B. Antonevich
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Translated from Matematicheskie Zametki, Vol. 45, No. 1, pp. 3–9, January, 1989.

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Antonevich, A.B. Boundedness conditions and the norm of the operator of internal superposition in the space of vector functions. Mathematical Notes of the Academy of Sciences of the USSR 45, 3–7 (1989). https://doi.org/10.1007/BF01158707

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  • DOI: https://doi.org/10.1007/BF01158707

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