# Hp spaces of several variables

@article{Fefferman1972HpSO,
title={Hp spaces of several variables},
author={Charles Fefferman and Elias M. Stein},
journal={Acta Mathematica},
year={1972},
volume={129},
pages={137-193}
}
• Published 1 December 1972
• Mathematics
• Acta Mathematica
2,597 Citations
• Mathematics
• 2012
We apply the discrete version of Calderón’s reproducing formula and Littlewood–Paley theory with weights to establish the $H^{p}_{w} \to H^{p}_{w}$ (0<p<∞) and $H^{p}_{w}\to L^{p}_{w}$ (0<p≤1)
• Mathematics
• 2012
We apply the discrete version of Calderón’s identity and Littlewood–Paley–Stein theory with weights to derive the $(H^p_w, H^p_w)$ and $(H^p_w, L^p_w) (0<p\le 1)$ boundedness for multiparameter
• Mathematics
The Journal of Geometric Analysis
• 2022
Let X be a ball quasi-Banach function space on Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}
• Mathematics
• 2022
Let X be a ball quasi-Banach function space satisfying some mild assumptions and H X ( R n ) the Hardy space associated with X . In this article, the authors introduce both the Hardy space H X ( R n
• Materials Science
Annals of Functional Analysis
• 2022
Let t∈(0,∞)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}
• Mathematics
• 2022
Let L be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients on R and X a ball quasi-Banach function space on R satisfying some mild assumptions.
• Mathematics
• 2022
Let X be a ball quasi-Banach function space on R n and H X ( R n ) the Hardy space associated with X , and let α ∈ (0 , n ) and β ∈ (1 , ∞ ). In this article, assuming that the (pow-ered)
• Mathematics
Advances in Operator Theory
• 2022
In this article, by applying the results of Zhou (Taiwan J Math 13:983–996, 2009), we investigate the boundedness for the commutators of Hausdorff operators on the weighted Herz-type Hardy spaces
• Mathematics
The Journal of Geometric Analysis
• 2022
Let L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}
• Mathematics
• 2021
. Let (cid:126)p ∈ (0 , 1] n be an n -dimensional vector and A a dilation. Let H (cid:126)pA ( R n ) denote the anisotropic mixed-norm Hardy space deﬁned via the radial maximal function. Using the

## References

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• Mathematics
• 1952
Let f (x) and K (x) be two functions integrable over the interval (-∞,+∞). It is very well known that their composition  \int\limits_{{ - \infty }}^{{ + \infty }} {f(t)K\left( {x - t} \right)dt}