Article detail · 2021
A New Approach for the Fractional Integral Operator in Time Scales with Variable Exponent Lebesgue Spaces
- Year
- 2021
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Fractal and Fractional
- Catalog match (ISSN) Fractal and Fractional
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis. Using the norms in different variable exponent spaces, the boundedness or compactness of the integral operators are examined. However, the norm of integral operators on time scales has been a matter of curiosity to us. In this study, we prove the equivalence of the norm of the restricted centered fractional maximal diamond-α integral operator Ma,δc to the norm of the centered fractional maximal diamond-α integral operator Mac on time scales with variable exponent Lebesgue spaces. This study will lead to the study of problems such as the boundedness and compactness of integral operators on time scales.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
11 citations
OpenAlex cited_by_count (cache / database)
6 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- New Challenges Arising in Engineering Problems with Fractional and Integer Order 2021
- On generalized weighted dynamic inequalities for diamond $$-\propto$$ integral on time scales calculus 2024
- On Innovations of the Multivariable Fractional Hardy-Type Inequalities on Time Scales 2023
- On Innovations of the Multivariable Fractional Hardy-Type Inequalities on Time Scales 2023
- Some Innovations for Hardy-type Inequalities on Time Scales 2025
- New Challenges Arising in Engineering Problems with Fractional and Integer Order 2021