Title: On Function Spaces with Fractional Wavelet Transform
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-20-00045; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 122-134
Document Type: Research Paper
aGiresun University, Faculty of Sciences and Letters, Department of Mathematics, Giresun, Turkey
bAmasya University, Faculty of Sciences and Letters, Department of Mathematics, Amasya, Turkey
Received: 5 December 2020, Accepted: 1 January 2021, Published: 25 April 2021.
Corresponding Author: Öznur Kulak (Email address: firstname.lastname@example.org)
Full Text: PDF
Let and be weight functions on . In this paper, we define to be the vector space of such that the fractional wavelet transform belongs to for 1 ≤ p, q < ∞. We endow this space with a sum norm and show that becomes a Banach space. Also we prove that is an essential Banach Module over under some conditions. We obtain its approximate identities, dual space and multipliers space. At the end of this paper we discuss the inclusion properties, compact embeddings of these spaces.
Keywords: Fractional wavelet transform, Essential Banach module, Approximate identity, Compact embedding, Multipliers spaceReferences:
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