|
Cotlar-Stein lemma and the  theorem
Author(s):
Y.-S.
Han;
J.
Zhang
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1697-1703.
MSC (2000):
Primary 42B20, 42B25
Posted:
November 2, 2000
Retrieve article in:
PDF DVI PostScript
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this note we give a generalization of the Cotlar-Stein lemma and using this lemma we give a new proof of a special case of the  theorem which, in general, was proved by David, Journé and Semmes.
References:
-
- [C]
- M. Cotlar, A combinatorial inequality and its application to
 spaces, Rev. Math. Cuyana 1 (1955), 41-55. MR 18:219a - [CV]
- A. P. Calderón, R. Vaillancourt, A class of bounded pseudo-differential operators Proc. Nat. Acad. Sci. U.S.A. 69 (1972), 1185-1187. MR 45:7532
- [DJ]
- G. David and J. L. Journé, A boundedness criterion for generalized Calderón-Zygmund operators, Ann. Math. 120 (1984), 371-397. MR 85k:42041
- [DJS]
- G. David, J. L. Journé, and S. Semmes, Opérateurs de Calderón-Zygmund fonctions para-accrétives et interpolation, Revista Mat. Iberoamericana 1 (1985), 1-56. MR 88f:47024
- [H]
- Y.-S. Han, Calderón-type reproducing formula and the
 theorem, Revista Mat. Iberoamericana 10 (1994), 51-91. MR 95h:42020 - [KS]
- A. Knapp and E. Stein, Intertwining operators on semi-simple Lie groups, Ann. Math. 93 (1971), 489-578. MR 57:536
- [MC]
- Y. Meyer and R. Coifman, Ondelettes et Opérateurs, Tommes III, Hermann, Paris, 1991. MR 93i:42004
- [MM]
- A. McIntosh and Y. Meyer, Algebres d'opérateurs définis par des intégrales singulières, C. R. Acad. Sci. Paris 301 (1985), 395-397. MR 87b:47053
- [S]
- E. Stein, Harmonic Analysis, Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, 1993. MR 95c:42002
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
42B20, 42B25
Retrieve articles in all Journals with MSC
(2000):
42B20, 42B25
Additional Information:
Y.-S.
Han
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36849-5310
Email:
hanyong@mail.auburn.edu
J.
Zhang
Affiliation:
Academia Sinica, Institute of Mathematics, Beijing, China 100080
Address at time of publication:
Department of Mathematics, Washington University, St. Louis, Missouri 63130
Email:
zhj@math.wustl.edu
DOI:
10.1090/S0002-9939-00-05707-5
PII:
S 0002-9939(00)05707-5
Keywords:
Cotlar-Stein lemma,
Calder\'on-Zygmund operator,
the $Tb$ theorem
Received by editor(s):
June 16, 1998
Received by editor(s) in revised form:
September 16, 1999
Posted:
November 2, 2000
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2000,
American Mathematical Society
|
Comments: webmaster@ams.org