Intrinsic square functions on functions spaces including weighted Morrey\n spaces

2012/05/01 by Justin Feuto, Feuto, Justin
Mathematics · #42B20 #42B25 #42B35 #43A15 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1205.0129

openalex publication_date 2012/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the intrinsic square functions including Lusin area integral\nand Littlewood-Paley g^\∗_\λ-function as defined by Wilson, are\nbounded in a class of function spaces include weighted Morrey spaces. The\ncorresponding commutators generated by BMO functions are also considered.\n

Related

• Intrinsic square functions on the weighted Morrey spaces
• Weak type estimates for intrinsic square functions on the weighted Morrey spaces
• Boundedness of intrinsic square functions on generalized Morrey spaces
• Commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
• Boundedness of vector-valued intrinsic square functions in Morrey type spaces