Ascent and descent of multiplication and composition induced operators on variable exponent lebesgue spaces

The paper focuses on determining the ascent and descent of multiplication, composition, and weighted composition operators on variable exponent Lebesgue spaces. We explore the conditions on the measurable functions u and measurable transformations T defined on σ - finite complete measure space ( X ,...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2025-02, Vol.74 (1), Article 28
Main Authors: Datt, Gopal, Bajaj, Daljeet Singh, Fiorenza, Alberto
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
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Online Access:Get full text
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Summary:The paper focuses on determining the ascent and descent of multiplication, composition, and weighted composition operators on variable exponent Lebesgue spaces. We explore the conditions on the measurable functions u and measurable transformations T defined on σ - finite complete measure space ( X , A , μ ) that cause these operators on variable exponent Lebesgue spaces to have finite or infinite ascent (descent).
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-01121-4