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A Covering Theorem with applications
Author(s):
C.
J.
Neugebauer
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2883-2891.
MSC (2000):
Primary 42B25
Posted:
May 8, 2002
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Abstract:
We prove a Covering Theorem that allows us to prove modified norm inequalities for general maximal operators. We will also give applications to convergence of a sequence of linear operators and the differentiation of the integral.
References:
-
- 1.
- I.U. Asekritova, N.Y. Krugljak, L. Maligranda, and L.E. Persson, Distribution and rearrangement estimates of the maximal function and interpolation, Studia Math. 124(2) (1997), 107-132. MR 98g:46032
- 2.
- Jean-lin Journé, Calderón-Zygmund Operators, Pseudo-Differential Operators and the Cauchy Integral of Calderón, vol. 994, Lecture Notes in Mathematics. MR 85i:42021
- 3.
- P. Sjögren, A remark on the maximal function for measures on
 , Amer. J. Math. 105 (1983), 1231-1233. MR 86a:28003 - 4.
- E.M. Stein, Real variable methods, orthogonality, and oscillatory integrals, Princeton University Press, Princeton, N.J., 1993. MR 95c:42002
- 5.
- E.M. Stein and Guido Weiss, Introduction to Fourier Analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. MR 46:4102
- 6.
- R.L. Wheeden and A. Zygmund, Measure and Integral, Dekker, 1977. MR 58:11295
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Additional Information:
C.
J.
Neugebauer
Affiliation:
Department of Mathematics, Purdue University, Lafayette, Indiana 47907-1395
Email:
neug@math.purdue.edu
DOI:
10.1090/S0002-9939-02-06719-9
PII:
S 0002-9939(02)06719-9
Received by editor(s):
July 25, 2000
Posted:
May 8, 2002
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2002,
American Mathematical Society
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