Article ID: MTJPAM-D-20-00028

Title: On The Weighted Variable Exponent Lorentz Spaces


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

Article ID: MTJPAM-D-20-00028; Volume 3 / Issue 1 / Year 2021, Pages 78-88

Document Type: Research Paper

Author(s): Öznur Kulak a

aAmasya University, Department of Mathematics, Amasya, Turkey

Received: 11 September 2020, Accepted: 8 November 2020, Available online: 7 January 2021.

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

Full Text: PDF

Abstract

In this paper, using measure wdm instead of Haar measure m, weighted variable exponent Lorentz space is introduced and investigated. Then Hölder inequality is proved for weighted variable exponent Lorentz spaces. Also boundedness of the bilinear Hardy-Littlewood maximal function and Littlewood-Paley square function is considered on these spaces.

Keywords: Weighted variable exponent Lorentz space, Bilinear Hardy-Littlewood maximal, Bilinear Littlewood-Paley square function

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