### Abstract

We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

Original language | English (US) |
---|---|

Pages (from-to) | 1483-1491 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 127 |

Issue number | 5 |

State | Published - Dec 1 1999 |

### Fingerprint

### Keywords

- Compact operator
- Composition operator
- Hardy space

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*127*(5), 1483-1491.

**Composition operators on hardy spaces of a half-plane.** / Matache, Valentin.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 127, no. 5, pp. 1483-1491.

}

TY - JOUR

T1 - Composition operators on hardy spaces of a half-plane

AU - Matache, Valentin

PY - 1999/12/1

Y1 - 1999/12/1

N2 - We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

AB - We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

KW - Compact operator

KW - Composition operator

KW - Hardy space

UR - http://www.scopus.com/inward/record.url?scp=22644450359&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22644450359&partnerID=8YFLogxK

M3 - Article

VL - 127

SP - 1483

EP - 1491

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

ER -