On the weighted maximal operators of Marcinkiewicz type Cesàro means of two-dimensional Walsh-Fourier series
نویسندگان
چکیده
In this paper we investigate the behaviour of weighted maximal operators Marcinkiewicz type (C,?)-means ??,* p (f) := supn?P |??n(f)|/ n2/p?(2+?) in Hardy space Hp(G2) (0 < ? 1 and 2/(2 + ?)). It is showed that are bounded from dyadic to Lebesgue Lp(G2), a sense sharp. was also proved strong convergence theorem for (C, ?) means Walsh-Fourier series Hp(G2).
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ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2309981b