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Gluing of functions and local operators

Annotation

In 1976, I.V. Shragin introduced local operators as a natural generalization of the Nemytskii operators. The property of locality means that the values of the images (which are functions) restricted to some subset only depend on the values of the preimages restricted to the same subset. We study the property of locality of the nonlinear operators in spaces of measurable functions without assuming the continuity conditions, i. e. focussing on the property of gluing of functions.

Keywords

local operator, gluing of funcions, gluing-invariant set.

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UDC

517.988

Pages

698-670

Section of issue

Scientific articles

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