Let $\mathbb{A}=\mathbb{R}_{+}\times \mathbb{R}$ be the affine group with a right Haar measure $\mu$, $\omega$ be a weight function on $\mathbb{A}$ and $\Phi$ be a Young function. We characterize the affine continuous mappings on the subsets of $L^\Phi(\mathbb{A},\omega)$. Moreover we show that there exists an isometric isomorphism between the multiplier for the pair $(L^{1}(\mathbb{A})\cap L^{\Phi}(\mathbb{A}),L^{1}(\mathbb{A}))$ and the space of bounded measures $M(\mathbb{A})$.
Affine group affine mapping multiplier weighted Orlicz space
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 16 Mart 2024 |
Gönderilme Tarihi | 13 Nisan 2023 |
Kabul Tarihi | 26 Ekim 2023 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 73 Sayı: 1 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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