The action of the superposition operator on weighted Banach sequence spaces l_p,σ

Authors

NERMIN OKIČIĆFollow
FEHIM DEDAGIĆFollow

Author ORCID Identifier

NERMIN OKIČIĆ: 0000-0003-2046-194X

FEHIM DEDAGIĆ: 0000-0002-8134-1901

Abstract

We consider a nonlinear superposition operator on weighted Banach spaces l_p,σ, where σ is the weighted function with the property that (∀n ∈ ℕ) σ(n) ≥ 1. We present the necessary and sufficient conditions for the action of the superposition operator from l_p,σ to l_q,τ, 1 ≤ p, q ≤ ∞, as well as the L-characteristic of the action of the considered operator.

DOI

10.55730/1300-0098.3609

Keywords

Superposition operators, Weighted spaces, L-characteristic

First Page

573

Last Page

584

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

OKIČIĆ, N, & DEDAGIĆ, F (2025). The action of the superposition operator on weighted Banach sequence spaces l_p,σ. Turkish Journal of Mathematics 49 (5): 573-584. https://doi.org/10.55730/1300-0098.3609