References
- Fefferman C, Stein EM. Hp spaces of several variables. Acta Math. 1972;129:137–193.
- Coifman RR. Characterization of Fourier transforms of Hardy spaces. Proc Natl Acad Sci USA. 1974;71:4133–4134.
- Bownik M, Wang L-AD. Fourier transform of anisotropic Hardy spaces. Proc Am Math Soc. 2013;141:2299–2308.
- Colzani L. Fourier transform of distributions in Hardy spaces. Boll Unione Mat Ital A. 1982;1(6):403–410.
- Huang L, Chang D-C, Yang D. Fourier transform of anisotropic mixed-norm Hardy spaces. Front Math China. 2021;16:119–139.
- Taibleson M, Weiss G. The molecular characterization of certain Hardy spaces: representation theorems for Hardy spaces. Paris: Société Mathématique de France; 1980. pp. 67–149. (Astérisque; 77).
- Stein EM. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Princeton (NJ): Princeton University Press; 1993. (Princeton Mathematical Series 43, Monographs in Harmonic Analysis III).
- Sawano Y, Ho K-P, Yang D et al. Hardy spaces for ball quasi-Banach function spaces. Dissertationes Math (Rozprawy Mat). 2017;525:1–102.
- Chang D-C, Wang S, Yang D et al. Littlewood–Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. Complex Anal Oper Theory. 2020;14(3):33.
- Dai F, Lin X, Yang D et al. Generalizations of Brezis–Van Schaftingen–Yung formulae with applications to fractional Sobolev and Gagliardo–Nienberg inequalities. Submitted.
- Tao J, Yang D, Yuan W et al. Compactness characterizations of commutators on ball Banach function spaces. Potential Anal (revised).
- Wang F, Yang D, Yang S. Applications of Hardy spaces associated with ball quasi-Banach function spaces. Results Math. 2020;75:58.
- Wang S, Yang D, Yuan W et al. Weak Hardy-type spaces associated with ball quasi-banach function spaces II: Littlewood–Paley characterizations and real interpolation. J Geom Anal. 2021;31:631–696.
- Yan X, Yang D, Yuan W. Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces. Front Math China. 2020;15:769–806.
- Zhang Y, Huang L, Yang D et al. New ball Campanato-type function spaces and their applications. Submitted.
- Zhang Y, Wang S, Yang D et al. Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: decompositions with applications to boundedness of Calderón–Zygmund operators. Sci China Math (2020). doi:10.1007/s11425-019-1645-1.
- Zhang Y, Yang D, Yuan W et al. Real-variable characterizations of Orlicz-slice Hardy spaces. Anal Appl (Singap) 2019;17:597–664.
- Bennett C, Sharpley R. Interpolation of operators. Boston (MA): Academic Press; 1988. (Pure Appl. Math.; 129).
- Benedek A, Panzone R. The space Lp, with mixed norm. Duke Math J. 1961;28:301–324.
- Hörmander L. Estimates for translation invariant operators in Lp spaces. Acta Math. 1960;104:93–140.
- Chen T, Sun W. Iterated and mixed weak norms with applications to geometric inequalities. J Geom Anal. 2020;30:4268–4323.
- Chen T, Sun W. Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces. Math Ann. 2021;379:1089–1172.
- Chen T, Sun W. Hardy–Littlewood–Sobolev inequality on mixed-norm Lebesgue spaces. Available from: arXiv: 1912.03712.
- Haroske DD, Schneider C, Szarvas K. Growth envelopes of some variable and mixed function spaces. Available from: arXiv: 2007.08210.
- Ho K-P. Strong maximal operator on mixed-norm spaces. Ann Univ Ferrara Sez VII Sci Mat. 2016;62:275–291.
- Ho K-P. Mixed norm Lebesgue spaces with variable exponents and applications. Riv Math Univ Parma (NS). 2018;9:21–44.
- Huang L, Weisz F, Yang D et al. Summability of Fourier transforms on mixed-norm Lebesgue spaces. Anal Appl (Singap) 2021. DOI: 10.1142/S0219530521500135
- Schmeisser H-J, Triebel H. Topics in fourier analysis and function spaces. Chichester: Wiley; 1987. (A Wiley-Interscience Publication).
- Nogayama T. Mixed morrey spaces. Positivity. 2019;23:961–1000.
- Nogayama T, Ono T, Salim D et al. Atomic decomposition for mixed Morrey spaces. J Geom Anal. 2020. doi:10.1007/s12220-020-00513-z.
- Cleanthous G, Georgiadis AG. Mixed-norm α-modulation spaces. Trans Am Math Soc. 2020;373:3323–3356.
- Cleanthous G, Georgiadis AG, Nielsen M. Anisotropic mixed-norm Hardy spaces. J Geom Anal. 2017;27:2758–2787.
- Cleanthous G, Georgiadis AG, Nielsen M. Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators. Appl Comput Harmon Anal. 2019;47:447–480.
- Ho K-P. Sublinear operators on mixed-norm Hardy spaces with variable exponents. Atti Accad Naz Lincei Rend Lincei Mat Appl. 2020;31:481–502.
- Huang L, Liu J, Yang D et al. Atomic and Littlewood–Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications. J Geom Anal. 2019;29:1991–2067.
- Huang L, Liu J, Yang D et al. Dual spaces of anisotropic mixed-norm Hardy spaces. Proc Am Math Soc. 2019;147:1201–1215.
- Huang L, Liu J, Yang D et al. Real-variable characterizations of new anisotropic mixed-norm Hardy spaces. Commun Pure Appl Anal. 2020;19:3033–3082.
- Huang L, Liu J, Yang D et al. Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel–Lizorkin spaces. J Approx Theory. 2020;258:105459.
- Huang L, Yang D, Yuan W. Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces. Banach J Math Anal (to appear).
- Huang L, Yang D. On function spaces with mixed norms – a survey. J Math Study. 2021;54:262–336.
- Cruz-Uribe DV, Fiorenza A. Variable lebesgue space. Foundations and harmonic analysis. Heidelberg: Birkhäuser/Springer; 2013. (Appl. Number. Harmon Aanl.).
- Diening L, Harjulehto P, Hästö P et al. Lebesgue and sobolev spaces with variable exponents. Heidelberg: Springer; 2011. (Lecture Notes in Mathematics; 2017).
- Nakai E, Sawano Y. Hardy spaces with variable exponents and generalized Campanato spaces. J Funct Anal. 2012;262:3665–3748.
- Cruz-Uribe DV, Fiorenza A, Martell JM et al. The boundedness of classical operators on variable Lp spaces. Ann Acad Sci Fenn Math. 2006;31:239–264.
- Rao MM, Ren ZD. Theory of Orlicz spaces. New York: Marcel Dekker, Inc.; 1991. (Monographs and Textbooks in Pure and Applied Mathematics; 146).
- Nakai E, Sawano Y. Orlicz–Hardy spaces and their duals. Sci China Math. 2014;57:903–962.
- Liang Y, Huang J, Yang D. New real-variable characterizations of Musielak–Orlicz Hardy spaces. J Math Anal Appl. 2012;395:413–428.