Derivatives of hardy functions

Research output: Contribution to journalArticle

Abstract

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
Volume110
Issue number3
DOIs
Publication statusPublished - 1990
Externally publishedYes

Keywords

  • Derivatives
  • H-functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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