Luxemburg Norm Characterizations of BLO Spaces in General Metric Measure Frameworks

Liping Yang () and Xin Jiang ()
Additional contact information
Liping Yang: College of Artificial Intelligence, Dalian Maritime University, Dalian 116026, China
Xin Jiang: School of Computing, Wuhan Vocational College of Software and Engineering, Wuhan 430205, China

Mathematics, 2025, vol. 13, issue 17, 1-14

Abstract: This study provides new equivalent descriptions of the Bounded Lower Oscillation ( BLO ) space through Luxemburg-type L φ integrability conditions, where φ is a nonnegative function with either convexity or concavity. The framework accommodates various representative forms of φ , such as the power function φ ( t ) = t p , exponential-type functions φ ( t ) = e p t − 1 , and logarithmic functions φ ( t ) = log + k t , with parameters p ∈ ( 0 , ∞ ) and k ∈ N . These results unify and extend existing characterizations of BLO by encompassing a broad class of generating functions.

Keywords: BLO space; Luxemburg; space of homogeneous type; non-atomic measure; Calderón-Zygmund decomposition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/17/2891/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/17/2891/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:17:p:2891-:d:1744243

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().