The class L(log L)α and some lacunary sets
1995 ◽
Vol 58
(3)
◽
pp. 387-403
Keyword(s):
AbstractA well-known result of Zygmund states that if f ∈ L (log+L) ½ on the circle group T and E is a Hadamard set of integers, then . In this paper we investigate similar results for the classes on an arbitrary infinite compact abelian group G and Sidon subsets E of the dual Γ. These results are obtained as special cases of more general results concerning a new class of lacunary sets Sαβ, 0 < α ≤ β, where a subset E of Γ is an Sα β set if . We also prove partial results on the distinctness of the Sαβ sets in the index β.
1993 ◽
Vol 47
(3)
◽
pp. 435-442
◽
1976 ◽
Vol 79
(3)
◽
pp. 511-520
Keyword(s):
1994 ◽
Vol 14
(2)
◽
pp. 130-138
◽
Keyword(s):
Keyword(s):
2004 ◽
Vol 2004
(57)
◽
pp. 3057-3067
◽
2007 ◽
Vol 75
(2)
◽
pp. 369-390
◽
Keyword(s):
2020 ◽
Vol 23
(5)
◽
pp. 1431-1451
◽
Keyword(s):