Hyperbolic valued Beurling weighted bicomplex Lebesgue spaces and some of their geometric characteristics

This study introduces hyperbolic-valued Beurling weight functions and establishes bicomplex weighted Lebesgue spaces using these weight functions. Further, it examines several geometric properties of spaces, such as B C -convexity, B C -strict convexity, and B C -uniform convexity.

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Bibliographic Details
Published in:Journal of inequalities and applications Vol. 2024; no. 1; pp. 153 - 17
Main Author: Toksoy, Erdem
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 03.12.2024
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications of Mathematics
B $\mathbb{B}$ C $\mathbb{C}$ -convexity
Bicomplex weighted Lebesgue space
Convexity
D $\mathbb{D}$ -Beurling weight
Decomposition
Mathematics
Mathematics and Statistics
Weighting functions
46B20
Beurling weight
43A15
Bicomplex weighted Lebesgue space
convexity
46E30
ISSN:1029-242X, 1025-5834, 1029-242X
Online Access:Get full text
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Description
Summary:This study introduces hyperbolic-valued Beurling weight functions and establishes bicomplex weighted Lebesgue spaces using these weight functions. Further, it examines several geometric properties of spaces, such as B C -convexity, B C -strict convexity, and B C -uniform convexity.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03238-7