Title:
|
CLO spaces and central maximal operators (English) |
Author:
|
Guzmán-Partida, Martha |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
49 |
Issue:
|
2 |
Year:
|
2013 |
Pages:
|
119-124 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
We consider central versions of the space $\operatorname{BLO}$ studied by Coifman and Rochberg and later by Bennett, as well as some natural relations with a central version of a maximal operator. (English) |
Keyword:
|
central mean oscillation |
Keyword:
|
central maximal function |
MSC:
|
42B25 |
MSC:
|
42B35 |
idZBL:
|
Zbl 06321153 |
idMR:
|
MR3118868 |
DOI:
|
10.5817/AM2013-2-119 |
. |
Date available:
|
2013-10-14T13:42:47Z |
Last updated:
|
2014-07-30 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143499 |
. |
Reference:
|
[1] Alvarez, J.: The distribution function in the Morrey space.Proc. Amer. Math. Soc. 83 (1981), 693–699. Zbl 0478.46025, MR 0630039, 10.1090/S0002-9939-1981-0630039-0 |
Reference:
|
[2] Alvarez, J., Guzmán–Partida, M., Lakey, J.: Spaces of bounded $\lambda $–central mean oscillation, Morrey spaces, and $\lambda $–central Carleson measures.Collect. Math. 51 (2000), 1–47. Zbl 0948.42013, MR 1757848 |
Reference:
|
[3] Bennett, C.: Another characterization of BLO.Proc. Amer. Math. Soc. 85 (1982), 552–556. Zbl 0512.42022, MR 0660603, 10.1090/S0002-9939-1982-0660603-5 |
Reference:
|
[4] Chen, Y. Z., Lau, K. S.: On some new classes of Hardy spaces.J. Funct. Anal. 84 (1989), 255–278. MR 1001460, 10.1016/0022-1236(89)90097-9 |
Reference:
|
[5] Coifman, R. R., Rochberg, R.: Another characterization of BMO.Proc. Amer. Math. Soc. 79 (1980), 249–254. Zbl 0432.42016, MR 0565349, 10.1090/S0002-9939-1980-0565349-8 |
Reference:
|
[6] García–Cuerva, J.: Hardy spaces and Beurling algebras.J. London Math. Soc. 39 (1989), 499–513. Zbl 0681.42014, MR 1002462, 10.1112/jlms/s2-39.3.499 |
Reference:
|
[7] Lin, H., Nakai, E., Yang, D.: Boundedness of Lusin–area and $g_{\lambda }^{\ast }$ functions on localized BMO spaces over doubling metric measure spaces.Bull. Sci. Math. 135 (2011), 59–88. MR 2764953, 10.1016/j.bulsci.2010.03.004 |
Reference:
|
[8] Lin, H., Yang, D.: Spaces of type BLO on non–homogeneous metric measure spaces.Front. Math. China 6 (2011), 271–292. MR 2780892, 10.1007/s11464-011-0098-9 |
Reference:
|
[9] Liu, L., Yang, D.: $BLO$ spaces associated with the Ornstein–Uhlenbeck operator.Bull. Sci. Math. 132 (2008), 633–649. Zbl 1158.42013, MR 2474485, 10.1016/j.bulsci.2008.08.003 |
Reference:
|
[10] Lu, S., Yang, D.: The central BMO spaces and Littlewood–Paley operators.J. Approx. Theory Appl. 11 (1995), 72–94. Zbl 0857.42009, MR 1370776 |
Reference:
|
[11] Lu, S., Yang, D., Hu, G.: Herz Type Spaces and Their Applications.Science Press, Beijing, 2008. |
Reference:
|
[12] Yang, Da., Yang, Do., Hu, G.: The Hardy Space $H^{1}$ with Non–doubling Measures and Their Applications.Lecture Notes in Math., vol. 2084, Springer–Verlag, Berlin, 2013. MR 3157341 |
. |