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. Pure Appl. Math. 10 (1957), 617-622. 5. , Translation invariant spaces. Acta Math. 101 (1959), 163-178. 6. J. W. Moeller, On the extrapolation of Lacunary Fourier series , J. Reine Angew. Math, (to appear ...
We show that, for function f on [0, 1], with ∫ | f| (log log+ |f|)(log log log+ |f|) dx < ∞, and lacunary subsequence of integers {nj}, it holds that Snjf → f a.e., where Smf is the mth Walsh– Fourier ...
be naturally ordered and that this order yields a telescopic representation of $$H_\Omega $$ as a maximal partial sum of Fourier restrictions to disjoint ( lacunary ) cones: see also [8, 19]. These methods do ...
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