№4 (23), 2012. MATHEMATICS AND SCIENCE

Salieva O A

Steklov mean operators in problems of continuation of functions from m-dimensional planes

We construct a continuation operator from m-dimensional planes. By using this operator, we prove a continuation theorem for functions from a seminormed b-space into a corresponding seminormed weighted functional space with degeneration near the m-dimensional planes. The continuation is optimal ina certain sense.

 

Keywords: mean operator, problem of continuation of functions, trace of a function, m-dimensional planes.

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