FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 2, PAGES 475-491

A. G. Kostyuchenko

E. D. Nursultanov

Abstract

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```
On the model problem the influence of mutual disposition of singularities
of the integral operator's kernel onto its norm and spectral radius
is studied. The upper and lower estimations of norm
of integral operators in Lorentz spaces
are obtained. On the basis of these inequalities,
the partial order relation is introduced that permits in some cases to
compare the norms of integral operators.
```

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Last modified: July 6, 1999