The local sharp maximal function and BMO on locally homogeneous spaces

2015/11/07 by Bramanti, Marco, Fanciullo, Maria Stella
#42B25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1511.02384

Abstract

We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a local version of John-Nirenberg inequality for locally BMO functions, in the framework of locally homogeneous spaces, in the sense of Bramanti-Zhu [Manuscripta Math. 138 (2012), no. 3-4, 477-528].

Related

• A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes
• Sharp transference principle for BMO and A_p
• Local real analysis in locally homogeneous spaces
• New estimates for the maximal functions and applications
• β-dimensional sharp maximal function and applications