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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-1,
author = {Micha\l\ Jasiczak},
title = {Extension from linear subvarieties for the Bergman scale of spaces on convex domains},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {1-23},
zbl = {06330459},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-1}
}
Michał Jasiczak. Extension from linear subvarieties for the Bergman scale of spaces on convex domains. Annales Polonici Mathematici, Tome 111 (2014) pp. 1-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-1-1/