Extension from linear subvarieties for the Bergman scale of spaces on convex domains
Volume 112 / 2014
Annales Polonici Mathematici 112 (2014), 1-23
MSC: Primary 32A36; Secondary 32A26, 32F18, 32F32, 32T25.
DOI: 10.4064/ap112-1-1
Abstract
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 $H^{1}(D)$. For other Bergman spaces the result is $\epsilon $-optimal.
