Traces of generalized potentials

B.I. Peleshenko (Dnipropetrovsk State Agrarian and Economic University)
T.N. Semirenko (Dnipropetrovsk State Agrarian and Economic University)

Abstract


The theorem on finding traces of integral operators defined on a symmetric space with a certain kernel is obtained using the Krein-Semenov interpolation theorem.

Keywords


measure; distribution function; function permutation; symmetric space; operators interpolation

References


Peetre J. "On the trace of potentials", Ann. Scuola Norm. Sup. Pisa, 1975; 2: pp. 33-43.

Adams R. Sobolev spaces, Academic Press, New York, 1975.

Krein S.G., Petunin Yu.I., Semyonov Ye.M. Interpolation of linear operators, Nauka, Moscow, 1978; 400 p. (in Russian)




DOI: https://doi.org/10.15421/241710

  

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Copyright (c) 2017 B.I. Peleshenko, T.N. Semirenko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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