Abstract view
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Maximal Operators and Cantor Sets
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Published:2000-09-01
Printed: Sep 2000
Abstract
We consider maximal operators in the plane, defined by Cantor sets of
directions, and show such operators are not bounded on $L^2$ if the
Cantor set has positive Hausdorff dimension.
| MSC Classifications: |
42B25, 43A46 show english descriptions
Maximal functions, Littlewood-Paley theory
Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
42B25 - Maximal functions, Littlewood-Paley theory
43A46 - Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
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