### Abstract

Let B be the open unit ball of C^{n}, and set S = dB. It is shown that if φ ∈ L^{P}(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∈ H^{P}(B) with f(0) = 0 such that f* = φ almost everywhere on 5 and where V denotes the normalized volume measure on B.

Original language | English |
---|---|

Pages (from-to) | 781-787 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 110 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1990 |

Externally published | Yes |

### Fingerprint

### Keywords

- Derivatives
- H-functions

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Derivatives of hardy functions.** / Choe, Boo Rim.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 110, no. 3, pp. 781-787. https://doi.org/10.1090/S0002-9939-1990-1028041-8

}

TY - JOUR

T1 - Derivatives of hardy functions

AU - Choe, Boo Rim

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

KW - Derivatives

KW - H-functions

UR - http://www.scopus.com/inward/record.url?scp=84968512235&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968512235&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1990-1028041-8

DO - 10.1090/S0002-9939-1990-1028041-8

M3 - Article

AN - SCOPUS:84968512235

VL - 110

SP - 781

EP - 787

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -