Elfadil Mohammed Shomaim Abderouf Elbdree Hassan University of Blue Nile, Faculty of Education, Department of mathematics, Ad-Damzin, Sudan abstract We define Hardy spaces H^(1+ε) (D_(2π+ε)^’ ),0<ε<∞, on the non-smooth worm domainD_(2π+ε)^’={(z_r,z_(r+1) )∈C^2:|Imz_r-log〖|z_(r+1) |^2 〗 |<π/2,|log〖|z_(r+1) |^2 〗 |<3/2 π+ε}Following the work of [36], and we prove a series...
Hardy spaces and the Sequences of Szegő projection of the non-smooth worm domain D_(2π+ε)^’
H