The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane

2016/10/11 by Saito, Hiroki, Tanaka, Hitoshi
#42B25 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.03186

Abstract

The Fefferman-Stein type inequalities for strong maximal operator and directional maximal operator are verified with composition of the Hardy-Littlewood maximal operator in the plane.

Related

• The Fefferman-Stein type inequality for strong maximal operator in the heigher dimensions
• Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator
• β-dimensional sharp maximal function and applications
• On high dimensional maximal operators
• New estimates for the maximal functions and applications