The boundedness of intrinsic square functions on the weighted Herz spaces

2012/10/22 by Wang, Hua
#42B25 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1210.5795

Abstract

In this paper, we will obtain the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley g-function and g^*_λ-function on the weighted Herz spaces K^α,p_q(w₁,w₂) (K^α,p_q(w₁,w₂)) with general weights.

Related

• Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces
• An intrinsic square function on weighted Herz spaces with variable exponent
• Boundedness of intrinsic square functions on the weighted weak Hardy spaces
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• Weak type estimates of intrinsic square functions on the weighted Hardy spaces