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Conditions under which the sums of absolute values of blocks in the Fourier-Walsh series for functions of bounded variation belong to spaces \(L^p\). (English. Russian original) Zbl 1510.42007

Proc. Steklov Inst. Math. 319, Suppl. 1, S271-S280 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 226-236 (2022).
MSC:  42A20 42C10 42A16
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Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. (English. Russian original) Zbl 1362.42057

Proc. Steklov Inst. Math. 290, 306-317 (2015); translation from Tr. Mat. Inst. Steklova 290, 323-334 (2015).
MSC:  42C10 40F99
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