Differentiation of Integrals in Rn

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Springer, Nov 14, 2006 - Mathematics - 232 pages
 

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Contents

SOME COVERING THEOREMS
1
Saks rarity theorem A problem of Zygmund
2
Covering theorems of the Whitney type
9
Covering theorems of the Vitali type t e s is e e s
19
Weak type 11 of the maximal operator
36
Differentiation bases and the maximal operator associated to them
42
The rotation method in the study of the maximal operator
51
The space L1 + log L Integrability properties of the maximal oper
60
The basis 8 3 is not a density basis
115
CHAPTER
134
Bases of unbounded sets and starshaped sets e s s e 1141
147
The theorem of de Possel + + m + 4 + 1148
153
A problem related to the interval basis
165
ON THE HALO PROBLEM
177
An application of the extrapolation method of Yano
183
APPENDIX I
190

Density bases Theorems of BusemannFeller
66
Individual differentiation properties
77
THE INTERVAL BASIS
92
CHAPTER V
109
by Roberto Moriyn Žſ
211
A LIST OF SUGGESTED PROBLEMS s e e e
221
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