Extension from linear subvarieties for the Bergman scale of spaces on convex domains

• Autorzy: Michał Jasiczak
• Języki publikacji: EN

Abstrakty

EN

We study the problem of extending functions from linear affine subvarieties for the Bergman scale of spaces on convex finite type domains. Our results solve the problem for H¹(D). For other Bergman spaces the result is ϵ-optimal.

Kategorie tematyczne

• 32F32: Analytical consequences of geometric convexity (vanishing theorems, etc.)
• 32A36: Bergman spaces
• 32A26: Integral representations, constructed kernels (e.g. Cauchy, Fantappi\`e-type kernels)
• 32F18: Finite-type conditions
• 32T25: Finite type domains

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 1
• Strony: 1-23

Daty

wydano

2014

Twórcy

autor

Michał Jasiczak

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/ap112-1-1