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Analysis Seminar – Oscar Guzman, Departamento de Matematicas, Universidad Nacional de Colombia, Bogota, Colombia

March 31 @ 3:30 pm - 4:30 pm

VARIABLE EXPONENT BOUNDED VARIATION SPACES IN THE RIESZ
SENSE

Abstract
This talk introduces Variable Exponent Bounded Variation Spaces in the Riesz Sense. We prove some embedding results and present a Riesz representation lemma in our setting [1]. Also it shows an application of the latter result by characterizing the global Lipschitz Nemytskii operator on the newly introduced spaces [2].
Keywords: Nemytskii operator, Riesz representation Theorem, Variable Lebesgue spaces, Banach algebra.
References
[1] Castillo, R. E., Guzmán, O. M., Rafeiro, H. (2016). Variable exponent bounded variation spaces in the Riesz sense. Nonlinear Analysis: Theory, Methods and Applications, 132, 173-182.
[2] Castillo, R. E., Guzmán, O. M., Rafeiro, H. (2017). Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent. Mediterranean Journal of Mathematics, 14(1), 2.

Details

Date:
March 31
Time:
3:30 pm - 4:30 pm
Event Categories:
, , ,

Organizer

Kabe Moen
Phone:
205-348-1979
Email:
kabe.moen at ua.edu

Venue

227 Gordon Palmer Hall
505 Hackberry Lane
Tuscaloosa, AL 35487 United States
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