Huang, Jizheng; Liu, Yu Some characterizations of weighted Hardy spaces. (English) Zbl 1246.42021 J. Math. Anal. Appl. 363, No. 1, 121-127 (2010). Summary: We will characterize the weighted Hardy spaces by the intrinsic square functions including the Lusin area function, Littlewood-Paley \(\mathcal G\)-function and \(\mathcal G_\lambda^*\)-function. Cited in 20 Documents MSC: 42B30 \(H^p\)-spaces Keywords:intrinsic square function; \(A_p\) weights; weighted Hardy space; atomic decomposition PDFBibTeX XMLCite \textit{J. Huang} and \textit{Y. Liu}, J. Math. Anal. Appl. 363, No. 1, 121--127 (2010; Zbl 1246.42021) Full Text: DOI References: [1] Garcia-Cuerva, J., Weighted \(H^p\) spaces, Dissertations Math., 162, 1-63 (1979) [2] Garcia-Cuerva, J.; Rubio de Francia, J., Weighted Norm Inequalities and Related Topics (1985), North-Holland: North-Holland Amsterdam · Zbl 0578.46046 [3] Muckenhoupt, B., Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc., 165, 207-226 (1972) · Zbl 0236.26016 [4] Strömberg, J. O.; Torchinsky, A., Weighted Hardy Spaces, Lecture Notes in Math., vol. 1381 (1989), Springer-Verlag: Springer-Verlag New York · Zbl 0676.42021 [5] Wilson, M., The intrinsic square function, Rev. Mat. Iberoamericana, 23, 771-791 (2007) · Zbl 1213.42072 [6] Wilson, M., Weighted Littlewood-Paley Theory and Exponential-Square Integrability, Lecture Notes in Math., vol. 1924 (2007), Springer-Verlag: Springer-Verlag New York This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.