АНАЛОГ ТЕОРЕМЫ О ДВУХ КОНСТАНТАХ И ОПТИМАЛЬНОЕ ВОССТАНОВЛЕНИЕ АНАЛИТИЧЕСКИХ ФУНКЦИЙ

Resultado de pesquisa: Article

Resumo

Several related extremal problems for analytic functions in a simply connected domain with rectifiable Jordan boundary are treated. The sharp inequality is established between a value of an analytic function in the domain and the weighted integral norms of the restrictions of its boundary values to two measurable subsets and of the boundary of the domain. It is an analogue of the F. and R. Nevanlinna two-constants theorem. The corresponding problems of optimal recovery of a function from its approximate boundary values on and of the best approximation to the functional of analytic extension of a function from the part of the boundary into the domain are solved. Bibliography: 35 titles.
Título traduzido da contribuiçãoAn analogue of the two-constants theorem and optimal recovery of analytic functions
Idioma originalRussian
Páginas (de-até)3-16
Número de páginas14
RevistaМатематический сборник
Volume210
Número de emissão10
DOIs
Estado da publicaçãoPublished - 2019

GRNTI

  • 27.27.00

Level of Research Output

  • VAK List

Impressão digital Mergulhe nos tópicos de investigação de “АНАЛОГ ТЕОРЕМЫ О ДВУХ КОНСТАНТАХ И ОПТИМАЛЬНОЕ ВОССТАНОВЛЕНИЕ АНАЛИТИЧЕСКИХ ФУНКЦИЙ“. Em conjunto formam uma impressão digital única.

Citar isto