Derivatives of hardy functions

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)781-787
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number3
Publication statusPublished - 1990 Nov
Externally publishedYes


  • Derivatives
  • H-functions

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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