Displaying similar documents to “Characterizations of periodic function spaces of Besov-Sobolev type via approximation processes and relations to the strong summability of Fourier series”

Some footprints of Marcinkiewicz in summability theory

Ferenc Weisz (2011)

Banach Center Publications

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Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.

Strong summability of Ciesielski-Fourier series

Ferenc Weisz (2004)

Studia Mathematica

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A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).