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/