Notes on multipliers on weighted Orlicz spaces

N.A.

Article Details

Notes on multipliers on weighted Orlicz spaces

Authors:

N.A.

Publisher:

Istanbul University

Main Topics:

Pure Mathematics (Other)

Journal:

Istanbul Journal of Mathematics Vol.1 Issue 1, pp.20-27

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001293534

pISSN:

2980-3020

Keywords:

Abstract:

 Let  be a locally compact abelian group with Haar measure , Φ be a Young function and  be a weight function. In this paper, we consider the weighted Orlicz space  Φ,  and we investigate the relationship between the multipliers 1, -module and the multipliers on a certain Banach algebra. For this purpose, we firstly define temperate function space with respect to the weighted Orlicz space  Φ,  which we denote by  Φ,  and give its basic properties. Later, we define a subalgebra of the space of multipliers on  Φ,  and study its basic properties. We also show that this subalgebra is isometrically isomorphic to the space of multipliers of a certain Banach algebra. Moreover, we obtain a characterization for the space of multipliers of 1,    Φ, .

 Let  be a locally compact abelian group with Haar measure , Φ be a Young function and  be a weight function. In this paper, we consider the weighted Orlicz space  Φ,  and we investigate the relationship between the multipliers 1, -module and the multipliers on a certain Banach algebra. For this purpose, we firstly define temperate function space with respect to the weighted Orlicz space  Φ,  which we denote by  Φ,  and give its basic properties. Later, we define a subalgebra of the space of multipliers on  Φ,  and study its basic properties. We also show that this subalgebra is isometrically isomorphic to the space of multipliers of a certain Banach algebra. Moreover, we obtain a characterization for the space of multipliers of 1,    Φ, .

 Let  be a locally compact abelian group with Haar measure , Φ be a Young function and  be a weight function. In this paper, we consider the weighted Orlicz space  Φ,  and we investigate the relationship between the multipliers 1, -module and the multipliers on a certain Banach algebra. For this purpose, we firstly define temperate function space with respect to the weighted Orlicz space  Φ,  which we denote by  Φ,  and give its basic properties. Later, we define a subalgebra of the space of multipliers on  Φ,  and study its basic properties. We also show that this subalgebra is isometrically isomorphic to the space of multipliers of a certain Banach algebra. Moreover, we obtain a characterization for the space of multipliers of 1,    Φ, .

 Let  be a locally compact abelian group with Haar measure , Φ be a Young function and  be a weight function. In this paper, we consider the weighted Orlicz space  Φ,  and we investigate the relationship between the multipliers 1, -module and the multipliers on a certain Banach algebra. For this purpose, we firstly define temperate function space with respect to the weighted Orlicz space  Φ,  which we denote by  Φ,  and give its basic properties. Later, we define a subalgebra of the space of multipliers on  Φ,  and study its basic properties. We also show that this subalgebra is isometrically isomorphic to the space of multipliers of a certain Banach algebra. Moreover, we obtain a characterization for the space of multipliers of 1,    Φ, .

Article Details

Notes on multipliers on weighted Orlicz spaces

Authors:

N.A.

Publisher:

Istanbul University

Main Topics:

Pure Mathematics (Other)

Journal:

Istanbul Journal of Mathematics Vol.1 Issue 1, pp.20-27

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001293534

pISSN:

2980-3020

multiplier

weighted Orlicz space

locally compact group

Issues

Article Details

Notes on multipliers on weighted Orlicz spaces

Authors: N.A.

Publisher: Istanbul University

Main Topics: Pure Mathematics (Other)

Journal: Istanbul Journal of Mathematics Vol.1 Issue 1, pp.20-27

Document Type: Article

Publication Date: 6/2023

Document Language: English

Document ID (Org No.): 2001293534

pISSN: 2980-3020

multiplier

weighted Orlicz space

locally compact group

Issues

Authors:

N.A.

Publisher:

Istanbul University

Main Topics:

Pure Mathematics (Other)

Journal:

Istanbul Journal of Mathematics Vol.1 Issue 1, pp.20-27

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001293534

pISSN:

2980-3020