0$ satisfying $n/p=(n+\beta)/q$. We also show that the condition of $C^2$-smoothness of the boundary of $D$ is an essential condition by giving a counter-example of a convex domain with $C^{1,\lambda}$ smooth boundary for $0<\lambda<1$ which does not satisfy the embedding result.
@article{1258131050, author = {Cho, Hong Rae and Kwon, Ern Gun}, title = {Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with {$C\sp 2$} boundary}, journal = {Illinois J. Math.}, volume = {48}, number = {3}, year = {2004}, pages = { 747-757}, language = {en}, url = {http://dml.mathdoc.fr/item/1258131050} }
Cho, Hong Rae; Kwon, Ern Gun. Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with {$C\sp 2$} boundary. Illinois J. Math., Tome 48 (2004) no. 3, pp. 747-757. http://gdmltest.u-ga.fr/item/1258131050/