This article is cited in 33 papers

Resonance theorems and superlinear operators

E. M. Nikishin


Abstract: This article is concerned with problems of the metrical theory of functions. We establish criteria for systems of measurable functions to be systems of convergence in measure, systems of convergence almost everywhere, etc. The exposition is based on a unified method, using superlinear operators.

UDC: 517.43

MSC: 47B65, 28A20, 28A33, 42C20, 42A20

Received: 16.02.1970

 English version: Russian Mathematical Surveys, 1970, 25:6, 125–187

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