Approximation by Walsh–Marcinkiewicz means on the Hardy space H2/3

Károly Nagy; George Tephnadze

doi:10.1215/21562261-2693469

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Home > Journals > Kyoto J. Math. > Volume 54 > Issue 3 > Article

Fall 2014 Approximation by Walsh–Marcinkiewicz means on the Hardy space

H_{2/3}

Károly Nagy, George Tephnadze

Kyoto J. Math. 54(3): 641-652 (Fall 2014). DOI: 10.1215/21562261-2693469

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Abstract

The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh–Marcinkiewicz means in terms of the modulus of continuity on the Hardy space $H_{2/3}$ .

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Károly Nagy. George Tephnadze. "Approximation by Walsh–Marcinkiewicz means on the Hardy space $H_{2/3}$ ." Kyoto J. Math. 54 (3) 641 - 652, Fall 2014. https://doi.org/10.1215/21562261-2693469