Maximal Operators and Cantor Sets
2000 ◽
Vol 43
(3)
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pp. 330-342
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AbstractWe consider maximal operators in the plane, defined by Cantor sets of directions, and show such operators are not bounded on L2 if the Cantor set has positive Hausdorff dimension.
2019 ◽
Vol 2019
(746)
◽
pp. 149-170
Keyword(s):
1965 ◽
Vol 61
(3)
◽
pp. 679-694
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Keyword(s):
Keyword(s):
ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE
2004 ◽
Vol 04
(01)
◽
pp. 63-76
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2013 ◽
Vol 56
(2)
◽
pp. 292-305
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1985 ◽
Vol 5
(1)
◽
pp. 27-46
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Keyword(s):
1995 ◽
Vol 06
(01)
◽
pp. 19-32
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Keyword(s):