Weighted composition operators on bicomplex Lorentz spaces with their characterization and properties
Year: 2025
Type: article
Abstract: This article presents a characterization of non-singular measurable transformation, denoted as T T , mapping from Ω \Omega to itself, along with bicomplex-valued BC {\mathbb{BC}} -measurable function u u defined on Ω \Omega , which induces a weighted composition operator. The study then proceeds to fully identify their D {\mathbb{D}} -compactness and D {\mathbb{D}} -closedness within the range of bicomplex Lorentz spaces denoted as L p , q BC ( Ω , M , ϑ ) {L}_{p,q}^{{\mathbb{BC}}}(\Omega ,{\mathfrak{M}},{\vartheta }) , where ( Ω , M , ϑ ) (\Omega ,{\mathfrak{M}},{\vartheta }) represents a σ \sigma -finite complete BC {\mathbb{BC}} -measure space, ϑ = ϑ 1 e 1 + ϑ 2 e 2
Source: Demonstratio Mathematica
Author: İlker Eryılmaz
Institution: Ondokuz Mayıs University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4412763284