|
 spaces associated with the sections
Author(s):
Lin
Tang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2423-2432.
MSC (2000):
Primary 42B25, 42B20
Posted:
April 5, 2007
MathSciNet review:
2302563
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
 spaces associated with the sections are introduced. It is shown that some properties which hold for the classical space  related to the balls (or cubes) remain valid for the space  related to the sections.
References:
-
- [1]
- H. Aimar, L. Forzani and R. Toledano, Balls and quasi-metrics: a space of homogeneous type modeling the real analysis related to the Monge-Ampère equation, J. Fourier Anal. Appl. 4(1998), 377-381. MR 1658608 (99j:35043)
- [2]
- C. Bennett, Another characterization of
 , Proc. Amer. Math. Soc. 85(1982), 552-556. MR 660603 (84h:42029) - [3]
- L. A. Caffarelli and C. E. Gutiérrez, Real analysis related to the Monge-Ampère equation, Trans. Amer. Math. Soc. 348(1996), 1075-1092. MR 1321570 (96h:35047)
- [4]
- L. A. Caffarelli and C. E. Gutiérrez, Singular integrals related to the Monge-Ampère equation, Wavelet Theory and Harmonic Analysis in Applied Sciences (Buenos Aires, 1995), 3-13, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Boston, Mass., 1997. MR 1463236 (99f:42030)
- [5]
- R. R. Coifman and R. Rochberg, Another characterization of
 , Proc. Amer. Math. Soc., 79(1980), 249-254. MR 565349 (81b:42067) - [6]
- Y. Ding and C. Lin, Hardy spaces associated to the sections, Tohoku Math. J. 57(2005), 147-170. MR 2137464 (2006d:42039)
- [7]
- C. E. Gutiérrez and Q. Huang, Geometric properties of the sections of solutions to the Monge-Ampère equation. Trans. Amer. Math. Soc, 252(2000), 4381-4396. MR 1665332 (2000m:35060)
- [8]
- A. Incognito, Weak-type (1,1) inequality for the Monge-Ampère SIO's, J. Fourier Anal. Appl. 7(2001), 41-48. MR 1812994 (2002c:42020)
- [9]
- E. M. Stein, Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, New Jersey, 1993. MR 1232192 (95c:42002)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
42B25, 42B20
Retrieve articles in all Journals with
MSC (2000):
42B25, 42B20
Additional Information:
Lin
Tang
Affiliation:
LMAM, School of Mathematical Science, Peking University, Beijing, 100871, People's Republic of China
Email:
tanglin@math.pku.edu.cn
DOI:
10.1090/S0002-9939-07-08903-4
PII:
S 0002-9939(07)08903-4
Received by editor(s):
October 28, 2005
Posted:
April 5, 2007
Additional Notes:
The research was supported by the NNSF (10401002) and NNSF (10371004) of China
Communicated by:
Michael T. Lacey
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
