Article ID: MTJPAM-D-22-00035

Title: On the properties of multiplication operators in some function spaces


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

Article ID: MTJPAM-D-22-00035; Volume 5 / Issue 1 / Year 2023, Pages 43-53

Document Type: Research Paper

Author(s): İsmail Aydın a , Öznur Kulak b

aDepartment of Mathematics, Sinop University, Sinop, 57100, Turkey

bDepartment of Mathematics, Amasya University, Amasya, 05100, Turkey

Received: 8 November 2022, Accepted: 14 December 2022, Published: 4 February 2023

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

Full Text: PDF

Abstract

In this paper, we discuss and characterize the boundedness, compactness and closed range of the multiplication operator. Moreover, we obtain some new results about necessary and sufficient conditions for the boundedness of operator norm of multiplication operator in variable exponent amalgam spaces.

Keywords: Multiplication operators, variable exponent amalgam spaces, compactness

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