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Averages on annuli of Euclidean space
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François Havard
Published/Copyright:
March 19, 2010
Abstract
We study the range of validity of differentiation theorems and ergodic theorems for 
actions, for averages on “thick spheres” of Euclidean space.
Keywords.: Lebesgue differentiation theorem; multidimensional measure preserving actions; ergodic theorem; spherical averages; maximal inequalities
Published Online: 2010-03-19
Published in Print: 2010-June
© de Gruyter 2010
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Keywords for this article
Lebesgue differentiation theorem;
multidimensional measure preserving actions;
ergodic theorem;
spherical averages;
maximal inequalities
Articles in the same Issue
- An analog of Morgan's theorem for the Kontorovich–Lebedev transform
- Positivity of the Jacobi–Cherednik intertwining operator and its dual
- Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications
- Cut-primitive directed graphs versus clan-primitive directed graphs
- On a class of variational-hemivariational inequalities involving set valued mappings
- Extremal problems in the class of analytic functions associated with Wright's function
- Averages on annuli of Euclidean space
- On the basis graph of a matroid of arbitrary cardinality
- Locally compact groups which are just not compact
