Dilation estimates for Wiener amalgam spaces of Orlicz type

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Atıf İçin Kopyala

ARIS B., Teofanov N., Öztop S.

Sampling Theory, Signal Processing, and Data Analysis, cilt.22, sa.1, 2024 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 22 Sayı: 1
• Basım Tarihi: 2024
• Doi Numarası: 10.1007/s43670-024-00086-w
• Dergi Adı: Sampling Theory, Signal Processing, and Data Analysis
• Derginin Tarandığı İndeksler: Scopus
• Anahtar Kelimeler: 46B35, 46E30, Dilation operator, Orlicz spaces, Wiener amalgam spaces
• İstanbul Üniversitesi Adresli: Evet

Özet

We extend dilation properties of Wiener amalgam spaces when the local and global componenets are Lebesgue spaces to a more general setting of Orlicz spaces. We recover the result of Cordero and Nicola when restricted to Lebesgue spaces. In addition, we prove continuity of the Zak transform on Wiener amalgam spaces with Orlicz spaces as their local components.