On holomorphic extensions from spheres in ℂ2
1983 ◽
Vol 94
(1-2)
◽
pp. 113-120
◽
Keyword(s):
SynopsisA theorem of Rudin states that if B is the open unit ball in ℂN, N > 1, if 0<ρ < 1, if is the family of all complex lines in ℂN at a distance ρ from the origin and if f ∈ C(∂B) is such that for every Λ∈ the function f|Λ∂B has a continuous extension to Λ ∩ B which is holomorphic in Λ ∩ B, then f has a continuous extension to B which is holomorphic in B. In this paper we show that when N = 2, the theorem still holds if is replaced by a considerably smaller family.
1999 ◽
Vol 129
(2)
◽
pp. 343-349
1995 ◽
Vol 47
(4)
◽
pp. 673-683
◽
Keyword(s):
1979 ◽
Vol 31
(1)
◽
pp. 9-16
◽
Keyword(s):
1994 ◽
Vol 49
(2)
◽
pp. 249-256
◽
Keyword(s):
1980 ◽
Vol 21
(2)
◽
pp. 199-204
◽
Keyword(s):
1978 ◽
Vol 26
(1)
◽
pp. 65-69
◽
Keyword(s):
2012 ◽
Vol 20
(2)
◽
pp. 159-170
Keyword(s):
Keyword(s):
2004 ◽
Vol 2004
(52)
◽
pp. 2761-2772
◽
Keyword(s):