## Hokkaido Mathematical Journal

### Vector valued inequalities and Littlewood-Paley operators on Hardy spaces

Shuichi SATO

#### Abstract

We prove certain vector valued inequalities on $\Bbb R^n$ related to Littlewood-Paley theory. They can be used in proving characterization of the Hardy spaces in terms of Littlewood-Paley operators by methods of real analysis.

#### Article information

Source
Hokkaido Math. J., Volume 48, Number 1 (2019), 61-84.

Dates
First available in Project Euclid: 18 February 2019

https://projecteuclid.org/euclid.hokmj/1550480644

Digital Object Identifier
doi:10.14492/hokmj/1550480644

Mathematical Reviews number (MathSciNet)
MR3914169

Zentralblatt MATH identifier
07055595

Subjects
Primary: 42B25: Maximal functions, Littlewood-Paley theory
Secondary: 42B30: $H^p$-spaces

#### Citation

SATO, Shuichi. Vector valued inequalities and Littlewood-Paley operators on Hardy spaces. Hokkaido Math. J. 48 (2019), no. 1, 61--84. doi:10.14492/hokmj/1550480644. https://projecteuclid.org/euclid.hokmj/1550480644