Article ID: MTJPAM-D-24-00108

Title: The spaces of multilinear multipliers of the space of functions whose Fourier transforms belong to specified function space

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00108; Volume 8 / Issue 1 / Year 2026, Pages 129-139

Document Type: Research Paper

Author(s): Öznur Kulak ^a, Ahmet Turan Gürkanlı ^b

^aAmasya University, Faculty of Arts and Sciences, Department of Mathematics, Amasya, Turkey

^bİstanbul Arel University, Faculty of Science and Letters, Tepekent-Büyükçekmece, Istanbul, Turkey

Received: 20 July 2024, Accepted: 30 September 2025, Published: 23 May 2026

Corresponding Author: Öznur Kulak (Email address: oznur.kulak@amasya.edu.tr)

Full Text: PDF

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Abstract

This paper introduces the multilinear multipliers of the space of functions whose Fourier transforms belong to a specified function space previously defined and studied by Fischer et al. [9]. We investigate how these multipliers behave under translation, modulation, dilation operators and we see that the multilinear multipliers space is invariant under these operators. In addition, we provide illustrative examples of multilinear multipliers.

Keywords: Multilinear multipliers, weighted Lebesgue space, Fourier transform

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