Strong summability of Ciesielski–Fourier series

Volume 161 / 2004

Ferenc Weisz Studia Mathematica 161 (2004), 269-302 MSC: Primary 41A15, 40F05, 42A24; Secondary 42C10, 42B08. DOI: 10.4064/sm161-3-4

Abstract

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 $(1,1)$.

Authors

  • Ferenc WeiszDepartment of Numerical Analysis
    Eötvös L. University
    Pázmány P. sétány 1 / C
    H-1117 Budapest, Hungary
    e-mail

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