[1] Coifman R R. A real variable characterization of $H_p$. Studia Math, 1974, 51: 269-274
[2] Fefferman C, Stein E M. $H^{p}$ spaces of several variables. Acta Math, 1972, 129: 137-195
[3] Garcia-Cuerva J. Weighted $H^{p}$ spaces. Dissertations Math, 1979, 162: 1-63
[4] Carbery A, Seeger A. $H^p$ and $L^p$-variants of multiparameter Calderón-Zygmund theory. Trans Amer Math Soc, 1992, 334: 719-747
[5] Chang S Y A. Carleson measures on the bi-disc. Ann of Math, 1979, 109: 613-620
[6] Chang S Y A, Fefferman R. A continuous version of duality of $H^1$ with BMO on the bidisc. Ann of Math, 1980, 112: 179-201
[7] Chang S Y A, Fefferman R. The Calderón-Zygmund decomposition on product domains. Amer J Math, 1982, 104: 455-468
[8] Chang S Y A, Fefferman R. Some recent developments in Fourier analysis and $H^p$ theory on product domains. Bull Amer Math Soc, 1985, 12: 1-43
[9] Carleson L. A counterexample for measures bounded on $H^p$ for the bidisc. Mittag-Leffler Report, 1974, No.7
[10] Cordoba A, Fefferman C. A weighted norm inequality for singular integrals. Studia Math, 1976, 57(1): 97-101
[11] Ding W, Lu G. Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Trans Amer Math Soc, 2016, 368(10): 7119-7152
[12] Ding W, Lu G. Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators. Forum Math, 2022, 34(6): 1679-1705
[13] Ding W, Lu G, Zhu Y. Multi-parameter Triebel-Lizorkin spaces associated with different homogeneities and its atomic decomposition. Forum Math, 2016, 28: 25-42
[14] Ding W, Lu G, Zhu Y. Multi-parameter local Hardy spaces. Nonlinear Analysis, 2019, 184: 352-380
[15] Ding W, Lu G, Zhu Y. Discrete Littlewood-Paley Characterization of multi parameter local hardy spaces. Forum Math, 2019, 31: 1467-1488
[16] Ding W, Zhu Y. Weighted multi-parameter mixed Hardy spaces and their applications. Acta Mathematica Scientia, 2020, 40B(4): 945-969
[17] Ding Y, Han Y, Lu G, Wu X. Boundedness of singular integrals on multiparameter weighted Hardy spaces $H^p_w (R^n\times R^m)$. Potential Anal, 2012, 37: 31-56
[18] Ding Y, Lu G, Ma B. Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Acta Math Sin Engl Ser, 2010, 26: 603-620
[19] Fefferman R. Calderón-Zygmund theory for product domains-$H^p$ spaces. Proc Nat Acad Sci, 1986, 83: 840-843
[20] Fefferman R. Strong differentiation with respect to measures. Amer J Math, 1981, 103: 33-40
[21] Fefferman R. $A^{p}$ weight and singular integrals. Amer J Math, 1988, 110(5): 975-987
[22] Fefferman R. Harmonic analysis on product spaces. Ann of Math, 1987, 126: 109-130
[23] Fefferman R, Stein E M. Singular integrals on product spaces. Adv Math, 1982, 45: 117-143
[24] Garcia Cuerva J, Rubio de Francia J L. Weighted Norm Inequalities and Related Topics. Amsterdam: North Holland, 1985
[25] Grafakos L.Classical and Modern Fourier Analysis. Englewood Cliffs, NJ: Pearson Prentice Hall, 2008
[26] Gundy R, Stein E M. $H^p$ theory for the polydisk. Proc Nat Acad Sci, 1979, 76: 1026-1029
[27] Han Y, Lu G, Ruan Z. Boundedness criterion of Journé's class of singular integrals on multiparameter Hardy spaces. J Funct Anal, 2013, 264(5): 1238-1268
[28] Han Y, Lu G, Ruan Z. Boundedness of singular Integrals in Journé's class on weighted multiparameter Hardy spaces. J Geom Anal, 2014 24(4): 2186-2228
[29] Han Y, Lu G, Sawyer E. Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Anal PDE, 2014, 7: 1465-1534
[30] Han Y, Lu G, Zhao K. Discrete Calderón's identity, atomic Decomposition and boundedness criterion of operators on multiparameter Hardy spaces. J Geom Anal, 2010, 20: 670-689
[31] Hardy G H. The mean value of the modulus of an analytic function. Proc Lond Math Soc, 1915, 14(2): 269-277
[32] He Sh, Chen J. Weighted multi-parameter local Hardy spaces. Rocky Mountain Journal of Mathematics, 2021, 51(5): 1649-1670
[33] Latter R H. A characterization of $H^{p}(\mathbb{R}^{n})$ in terms of atoms. Studia Math, 1978, 62: 93-101
[34] Lu G, Ruan Z. Duality theory of weighted Hardy spaces with arbitrary number of parameters. Forum Math, 2014, 26: 1429-1457
[35] Lu G, Xiao Y. Dual spaces of weighted multi-parameter Hardy spaces associated with the Zygmund dilation. Adv Nonlinear Stud, 2012, 12: 533-553
[36] Lu G, Zhu Y. Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Acta Math Sin Engl Ser, 2013, 29: 39-52
[37] Ruan Z. Weighted Hardy spaces in three-parameter case. J Math Anal Appl, 2010, 367(2): 625-639
[38] Pipher J. Journe's covering lemma and its extension to higher dimensions. Duke Math J, 1986, 53: 683-690
[39] Stein E M, Weiss G. On the theory of harmonic functions of several variables. I. The theory of $H_p$-spaces. Acta Math, 1960, 103: 25-62
[40] Yang D, Liang Y,Ky L D.Real-Variable Theory of Musielak-Orlicz Hardy Spaces. Cham: Springer, 2017
[41] Yang D, Yang S. Local Hardy spaces of Musielak-Orlicz type and their applications. Sci China Math, 2012, 55: 1677-1720
[42] Zhu X. Atomic decomposition for weighted $H_{p}$ spaces on product domains. Science in China (Series A), 1992, 35: 158-168
