|
The atomic decomposition in 
Authors:
Wael Abu-Shammala and Alberto Torchinsky
Journal:
Proc. Amer. Math. Soc. 135 (2007), 2839-2843
MSC (2000):
Primary 42B25
Posted:
May 4, 2007
MathSciNet review:
2317960
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: In this paper we present an atomic decomposition of integrable functions. As an application we compute the distance of  in  to the Hardy space  .
- 1.
W. Abu-Shammala, and A. Torchinsky, Spaces between
 and  , preprint.
- 2.
A.-P.
Calderón and A.
Torchinsky, Parabolic maximal functions associated with a
distribution. II, Advances in Math. 24 (1977),
no. 2, 101–171. MR 0450888
(56 #9180)
- 3.
José
García-Cuerva and José
L. Rubio de Francia, Weighted norm inequalities and related
topics, North-Holland Mathematics Studies, vol. 116,
North-Holland Publishing Co., Amsterdam, 1985. Notas de Matemática
[Mathematical Notes], 104. MR 807149
(87d:42023)
- 4.
Caroline
Sweezy, Subspaces of
𝐿¹(ℝ^{𝕕}), Proc.
Amer. Math. Soc. 132 (2004), no. 12, 3599–3606 (electronic). MR 2084082
(2005h:42053), http://dx.doi.org/10.1090/S0002-9939-04-07463-5
- 5.
Alberto
Torchinsky, Real-variable methods in harmonic analysis, Dover
Publications Inc., Mineola, NY, 2004. Reprint of the 1986 original [Dover,
New York; MR0869816]. MR
2059284
- 1.
- W. Abu-Shammala, and A. Torchinsky, Spaces between and , preprint.
- 2.
- A. P. Calderón and A. Torchinsky, Parabolic maximal functions associated with a distribution, II, Advances in Math., 24 (1977), 101-171. MR 0450888 (56:9180)
- 3.
- J. García-Cuerva and J. L. Rubio de Francia, Weighted norm inequalities and related topics, Notas de Matemática 116, North Holland, 1985. MR 0807149 (87d:42023)
- 4.
- C. Sweezy, Subspaces of
 , Proc. Amer. Math. Soc. 132 (2005), 3599-3606. MR 2084082 (2005h:42053)
- 5.
- A. Torchinsky, Real-variable methods in harmonic analysis, Dover Publications, Inc., 2004.MR 2059284
Similar Articles
Retrieve articles in Proceedings of the American Mathematical Society
with MSC (2000):
42B25
Retrieve articles in all journals
with MSC (2000):
42B25
Additional Information
Wael Abu-Shammala
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
wabusham@indiana.edu
Alberto Torchinsky
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
torchins@indiana.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-07-08792-8
PII:
S 0002-9939(07)08792-8
Keywords:
Atomic decomposition
Received by editor(s):
January 23, 2006
Received by editor(s) in revised form:
May 23, 2006
Posted:
May 4, 2007
Communicated by:
Michael T. Lacey
Article copyright:
© Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
|
