Strong Convergence Theorem for Walsh–Kaczmarz–Fejér Means

نویسندگان

چکیده

As main result we prove that Fejér means of Walsh–Kaczmarz–Fourier series are uniformly bounded operators from the Hardy martingale space $$\ H_{p}$$ to $$H_{p}$$ for $$ 0<p\le 1/2$$ .

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ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2021

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-020-01682-5