### Abstract

Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q <2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space L^{Φ}.

Original language | English |
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Pages (from-to) | 163-166 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 121 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1994 |

### Keywords

- Conjugation operator
- Rudin-Shapiro polynomials

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Gupta, S. K., Madan, S., & Tewari, U. B. (1994). The conjugation operator on A

_{q}(G).*Proceedings of the American Mathematical Society*,*121*(1), 163-166. https://doi.org/10.1090/S0002-9939-1994-1181167-4