Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes

A. Testici

doi:10.37863/umzh.v73i7.559

A. Testici Balikesir Univ., Turkey

DOI: https://doi.org/10.37863/umzh.v73i7.559

Ключові слова: Doubly connected domai, modulus of smoothnes, Faber-Laurent serie, generalized grand Smirnov clas, Carleson curve

Анотація

УДК 517.5

Наближення рацiональними функцiями для двозв’язних областей у зважених узагальнених великих класах Смiрнова

Нехай $G ⊂ ℂ$— двозв’язна область обмежена двома спрямними кривими Карлесона. У цiй роботi за допомогою вищого модуля гладкостi вивчається апроксимацiйнi властивостi рацiональних $p - ε$ функцiй Фабера –Лорана у пiдкласах зважених узагальнених великих класiв Смiрнова $E^{p),θ}(G,ω)$ аналiтичних функцiй.

Посилання

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