Voir la notice de l'article provenant de la source Cambridge University Press
Liao, Fanghui; Liu, Zongguang. Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 834-848. doi: 10.4153/CMB-2016-030-9
@article{10_4153_CMB_2016_030_9,
author = {Liao, Fanghui and Liu, Zongguang},
title = {Some {Properties} of {Triebel{\textendash}Lizorkin} and {Besov} {Spaces} {Associated} with {Zygmund} {Dilations}},
journal = {Canadian mathematical bulletin},
pages = {834--848},
year = {2016},
volume = {59},
number = {4},
doi = {10.4153/CMB-2016-030-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-030-9/}
}
TY - JOUR AU - Liao, Fanghui AU - Liu, Zongguang TI - Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations JO - Canadian mathematical bulletin PY - 2016 SP - 834 EP - 848 VL - 59 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-030-9/ DO - 10.4153/CMB-2016-030-9 ID - 10_4153_CMB_2016_030_9 ER -
%0 Journal Article %A Liao, Fanghui %A Liu, Zongguang %T Some Properties of Triebel–Lizorkin and Besov Spaces Associated with Zygmund Dilations %J Canadian mathematical bulletin %D 2016 %P 834-848 %V 59 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-030-9/ %R 10.4153/CMB-2016-030-9 %F 10_4153_CMB_2016_030_9
[1] [1] Frazier, M. and Jawerth, B., A discrete transform and decomposition of distribution spaces. J. Funct. Anal. 93(1990), no. 1, 34–170. http://dx.doi.Org/10.1016/0022-1236(90)90137-A Google Scholar
[2] [2] Fefferman, R. and Pipher, J., Multiparameter operators and sharp weighted inequalities. Amer. J. Math. 11(1997), no. 2, 337–369. http://dx.doi.Org/10.1353/ajm.1997.0011 Google Scholar
[3] [3] Gatto, A. E., Product rule and chain rule estimates for fractional derivatives in spaces that satisfy the doubling condition. J. Funct. Anal. 188(2002), no. 1, 27–37. http://dx.doi.Org/10.1OO6/jfan.2OO1.3836 Google Scholar
[4] [4] Gatto, A. E., Segovia, C., and Vagi, S., On fractional differentiation and integration on spaces of homogeneous type. Rev. Mat. Iberoamericana 12(1996), no. 1,111-145. http://dx.doi.Org/10.4171/RMI/196 Google Scholar
[5] [5] Gatto, A. E. and Vagi, S., On Sobolev spaces of fractional order and e-families of operators on spaces of homogeneous type. Studia Math. 133(1999), no. 1,19-27. Google Scholar
[6] [6] Han, Y., The embedding theorem for the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. Proc. Amer. Math. Soc. 123(1995), no. 7, 2181–2189. http://dx.doi.Org/10.1090/S0002-9939-1995-1249880-9 Google Scholar
[7] [7] Han, Y. and Lu, G., Endpoint estimates for singular integral operators and Hardy spaces associated with Zygmund dilations. Trends in Partial Differential Equations, ALM 10, igh Education Press and International Press, Beijing-Boston, 2009, pp. 99–191. Google Scholar
[8] [8] Liao, F. and Liu, Z., Multi-parameter Triebel-Lizorkin and Besov spaces assaciated with Zygmund dilation. Taiwanese J. Math. 6(2013), no. 6, 2019–2037. http://dx.doi.Org/10.1165O/tjm.17.2013.3243 Google Scholar
[9] [9] Ricci, F. and Stein, E. M., Multiparameter singular integrals and maximal functions. Ann. Inst. Fourier(Grenoble) 42(1992), no. 3, 637–670. http://dx.doi.Org/10.58O2/aif.1304 Google Scholar
[10] [10] Triebel, H., Theory of function spaces. Monographs in Mathematics, 78, Birkhauser-Verlag, Basel, 1983. http://dx.doi.Org/10.1007/978-3-0346-0416-1 Google Scholar
[11] [11] Yang, D., Riesz potentials in Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. Potential Anal. 19(2003), no. 2, 193–210. http://dx.doi.Org/10.1023/A:1023217617339 Google Scholar
[12] [12] Yang, D., Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. Sci. China Ser. A 46(2003), no. 2, 187–199. http://dx.doi.Org/10.1360/03ys9020 Google Scholar
[13] [13] Yang, D., Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernel. Rev. Mat. Complut. 22(2009), no. 1, 253–302. http://dx.doi.Org/10.5209/revj:EMA.2009.v22.n1.16358 Google Scholar
Cité par Sources :