On the Rearranged Block-Orthonormal Systems
Abstract A condition is established for the sequence {Nk } when there exists a rearrangement of functions of the block-orthonormal system {φn } such that the sequence {log2 n} ({(log log n)2}) is a Weyl multiplier for the convergence (for the summability by the methods (C, α) (α > 0)) almost everywhere of series with respect to the rearranged system {φνn }.
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1981 ◽
Vol 37
(1-3)
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pp. 35-38
1987 ◽
Vol 45
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pp. 326-327
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2021 ◽
Vol 50
◽
pp. 16-33
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