Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.
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1Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 380043, Georgia
Citation Information: Georgian Mathematical Journal. Volume 7, Issue 1, Pages 169–177, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2000.169, February 2010
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}.
Key words and phrases.: Block-orthonormal systems; series with respect to block-orthonormal systems; Weyl multipliers; rearranged block-orthonormal systems
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