Square functions with general measures

Abstract

We characterize the boundedness of square functions in the upper half-space with general measures. The short proof is based on an averaging identity over good Whitney regions.

10 pages

References in corpus (3)

• The Hardy Space $H^1$ on Non-homogeneous Metric Spaces
• On sharp aperture-weighted estimates for square functions
• A local $Tb$ theorem for square functions in domains with Ahlfors-David regular boundaries

Cited by in corpus (1)

• Two weight norm inequalities for the $g$ function