Multiplication operator on weighted Lebesgue sequence spaces
In this paper, we study the multiplication operator acting on the Lebesgue sequence space lp, w, for 1 ≤ p ≤ ∞, which generalizes the classical lp spaces by incorporating a weight sequence wn. We focus on properties such as continuity, inverse continuity, finite range, compactness, and essential norm of the operator.
Authors
- Héctor Camilo Chaparro (ORCID: https://orcid.org/0000-0002-0723-8199)
- René Erlín Castillo (ORCID: https://orcid.org/0000-0003-1113-5827)
- Oscar Alejandro Chaparro
Institutions
- Universidad Manuela Beltrán (CO)
- University of Cartagena (CO)
- Universidad Nacional de Colombia (CO)
Publication Details
- Journal
- Gulf Journal of Mathematics
- Published
- 2025-04-20
- DOI
- https://doi.org/10.56947/gjom.v19i2.2692
- Citations
- 1
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 2.63