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 D.R. "Traces of potentials arising from translation invariant operators", Ann. Scuola Norm. Sup. Pisa, 1971; 25: pp. 203-217.

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


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ISSN (Online): 2518-7996
ISSN (Print): 2312-9557