On the note of C. L. Belna
Author:
Daniel Waterman
Journal:
Proc. Amer. Math. Soc. 80 (1980), 445447
MSC:
Primary 26A45
MathSciNet review:
581001
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Abstract: The space of functions of ordered harmonic bounded variation (OHBV) has been shown by Belna to contain the space of functions of harmonic bounded variation (HBV) properly. OHBV is a Banach space and HBV is a first category subset. The ordered harmonic variation has continuity properties quite different from those of the harmonic variation. The relationship of these classes to the everywhere convergence of Fourier series is discussed.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939198005810017
PII:
S 00029939(1980)05810017
Article copyright:
© Copyright 1980
American Mathematical Society
