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).
Ascent and descent of multiplication and composition induced operators on variable exponent lebesgue spaces / Datt, Gopal; Bajaj, Daljeet Singh; Fiorenza, Alberto. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - 74:1(2025), pp. 1-15. [10.1007/s12215-024-01121-4]
Ascent and descent of multiplication and composition induced operators on variable exponent lebesgue spaces
Fiorenza, Alberto
2025
Abstract
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).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
