Title of article
Almost everywhere summability of multiple Walsh–Fourier series
Author/Authors
Ushangi Goginava، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
11
From page
90
To page
100
Abstract
We prove that for the N-dimensional Walsh–Fourier series the maximal operator of the Marcinkiewicz
means is of weak type (1, 1). Moreover, the Marcinkiewicz means σnf of the function
f ∈ L1 converge a.e. to f as n→∞.
2003 Elsevier Inc. All rights reserved.
Keywords
Multiple Walsh–Fourier series , Marcinkiewicz means , Summability almost everywhere
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930874
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