Compactness and Boundedness of composition operator on weighted Lorentz spaces with variable exponents

Volume 40, Issue 4, pp 444--455 https://dx.doi.org/10.22436/jmcs.040.04.01

Publication Date: July 24, 2025 Submission Date: March 22, 2025 Revision Date: April 05, 2025 Accteptance Date: April 24, 2025

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Authors

G. ALNemer - Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Saudi Arabia. G. A. Basendwah - Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia. N. M. Aloraini - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia. I.-L. Popa - Department of Computing, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania. - Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania.

Abstract

In this paper, we give an overview of the weighted Lorentz spaces with variable exponents and also characterize the boundedness and compactness of the composition operator on these spaces.

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Keywords

• Composition operator
• weighted Lorentz spaces
• mathematical operators
• boundedness and compactness of the composition operator
• distribution function
• non-increasing rearrangement

MSC

•  47B33
•  47B38
•  46E30

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