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DOI :10.26650/ijmath.2023.00002   IUP :10.26650/ijmath.2023.00002    Full Text (PDF)

Notes on multipliers on weighted Orlicz spaces

Büşra Arıs, Rüya Üster

Let 𝐺 be a locally compact abelian group with Haar measure 𝜇, Φ be a Young function and 𝜔 be a weight function. In this paper, we consider the weighted Orlicz space 𝐿 Φ(𝐺, 𝜔) and we investigate the relationship between the multipliers 𝐿1(𝐺, 𝜔)-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 𝐿 Φ(𝐺, 𝜔) which we denote by 𝐿 Φ𝑡(𝐺, 𝜔) and give its basic properties. Later, we define a subalgebra of the space of multipliers on 𝐿 Φ(𝐺, 𝜔) 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 𝐿1(𝐺, 𝜔) ∩ 𝐿 Φ(𝐺, 𝜔). 

Keywords: multiplier, weighted Orlicz space, locally compact group

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APA

Arıs, B., & Üster, R. (2023). Notes on multipliers on weighted Orlicz spaces. Istanbul Journal of Mathematics, 1(1), 20-27. https://doi.org/10.26650/ijmath.2023.00002


AMA

Arıs B, Üster R. Notes on multipliers on weighted Orlicz spaces. Istanbul Journal of Mathematics. 2023;1(1):20-27. https://doi.org/10.26650/ijmath.2023.00002


ABNT

Arıs, B.; Üster, R. Notes on multipliers on weighted Orlicz spaces. Istanbul Journal of Mathematics, [Publisher Location], v. 1, n. 1, p. 20-27, 2023.


Chicago: Author-Date Style

Arıs, Büşra, and Rüya Üster. 2023. “Notes on multipliers on weighted Orlicz spaces.” Istanbul Journal of Mathematics 1, no. 1: 20-27. https://doi.org/10.26650/ijmath.2023.00002


Chicago: Humanities Style

Arıs, Büşra, and Rüya Üster. “Notes on multipliers on weighted Orlicz spaces.” Istanbul Journal of Mathematics 1, no. 1 (Sep. 2023): 20-27. https://doi.org/10.26650/ijmath.2023.00002


Harvard: Australian Style

Arıs, B & Üster, R 2023, 'Notes on multipliers on weighted Orlicz spaces', Istanbul Journal of Mathematics, vol. 1, no. 1, pp. 20-27, viewed 21 Sep. 2023, https://doi.org/10.26650/ijmath.2023.00002


Harvard: Author-Date Style

Arıs, B. and Üster, R. (2023) ‘Notes on multipliers on weighted Orlicz spaces’, Istanbul Journal of Mathematics, 1(1), pp. 20-27. https://doi.org/10.26650/ijmath.2023.00002 (21 Sep. 2023).


MLA

Arıs, Büşra, and Rüya Üster. “Notes on multipliers on weighted Orlicz spaces.” Istanbul Journal of Mathematics, vol. 1, no. 1, 2023, pp. 20-27. [Database Container], https://doi.org/10.26650/ijmath.2023.00002


Vancouver

Arıs B, Üster R. Notes on multipliers on weighted Orlicz spaces. Istanbul Journal of Mathematics [Internet]. 21 Sep. 2023 [cited 21 Sep. 2023];1(1):20-27. Available from: https://doi.org/10.26650/ijmath.2023.00002 doi: 10.26650/ijmath.2023.00002


ISNAD

Arıs, Büşra - Üster, Rüya. “Notes on multipliers on weighted Orlicz spaces”. Istanbul Journal of Mathematics 1/1 (Sep. 2023): 20-27. https://doi.org/10.26650/ijmath.2023.00002



TIMELINE


Submitted15.04.2023
Accepted01.06.2023
Published Online06.06.2023

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