References
- Chang D-C, Fu X, Yang D. Boundedness of paraproducts on spaces of homogeneous type I. Appl Anal. 2020. Available from: https://doi.org/https://doi.org/10.1080/00036811.2020.1800653.
- Coifman RR, Weiss G. Analyse harmonique non-commutative sur certains espaces homogènes, (French) Étude de certaines intégrales singulières. Berlin–New York: Springer-Verlag; 1971. (Lecture Notes in Mathematics 242).
- Coifman RR, Weiss G. Extensions of Hardy spaces and their use in analysis. Bull Amer Math Soc. 1977;83:569–645. doi: https://doi.org/10.1090/S0002-9904-1977-14325-5
- Han Y, Müller D, Yang D. A theory of Besov and Triebel–Lizorkin spaces on metric measure spaces modeled on Carnot–Carathéodory spaces. Abstr Appl Anal. 2008;2008:Art. ID 893409, 1–250. doi: https://doi.org/10.1155/2008/893409
- Han Y, Müller D, Yang D. Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type. Math Nachr. 2006;279:1505–1537. doi: https://doi.org/10.1002/mana.200610435
- He Z, Han Y, Li J, et al. A complete real-variable theory of Hardy spaces on spaces of homogeneous type. J Fourier Anal Appl. 2019;25:2197–2267. doi: https://doi.org/10.1007/s00041-018-09652-y
- Grafakos L, Liu L, Yang D. Boundedness of paraproduct operators on RD-spaces. Sci China Math. 2010;53:2097–2114. doi: https://doi.org/10.1007/s11425-010-4042-3
- He Z, Liu L, Yang D, et al. New Calderón reproducing formulae with exponential decay on spaces of homogeneous type. Sci. China Math. 2019;62:283–350. doi: https://doi.org/10.1007/s11425-018-9346-4
- Fu X, Yang D, Liang Y. Products of functions in BMO (X) and Hat1(X) via wavelets over spaces of homogeneous type. J Fourier Anal Appl. 2017;23:919–990. doi: https://doi.org/10.1007/s00041-016-9483-9
- Auscher P, Hytönen T. Orthonormal bases of regular wavelets in spaces of homogeneous type. Appl Comput Harmon Anal. 2013;34:266–296. doi: https://doi.org/10.1016/j.acha.2012.05.002
- Grafakos L, Liu L, Yang D. Vector-valued singular integrals and maximal functions on spaces of homogeneous type. Math Scand. 2009;104:296–310. doi: https://doi.org/10.7146/math.scand.a-15099
- Wang F, Han Y, He Z, et al. Besov spaces and Triebel–Lizorkin spaces on spaces of homogeneous type with their applications to a boundedness of Calderón–Zygmund operators. Submitted.
- Stein EM. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Princeton: Princeton University Press; 1993.
- Liu L, Chang D-C, Fu X, et al. Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type. Math Meth Appl Sci. 2018;41:5951–5984. doi: https://doi.org/10.1002/mma.5112
- Deng D, Han Y. Harmonic analysis on spaces of homogeneous type. Berlin: Springer-Verlag; 2009. (Lecture Notes in Mathematics 1966).