Let B be the open unit ball of Cn, and set S = dB. It is shown that if φ ∈ LP(S), φ 0, is a lower semicontinuous function on S and 1/q l + l/p, then, for a given, there exists a function f∈ HP(B) with f(0) = 0 such that f* = φ almost everywhere on 5 and where V denotes the normalized volume measure on B.
|Number of pages||7|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1990 Nov|
ASJC Scopus subject areas
- Applied Mathematics