Inclusions of Waterman-Shiba spaces into generalized Wiener classes
Journal article, 2014
The characterization of the inclusion of Waterman-Shiba spaces Lambda BV(p) into generalized Wiener classes of functions BV (q; delta) is given. It uses a new and shorter proof and extends an earlier result of U. Goginava.
Generalized bounded variation
Generalized Wiener class
Mathematics
Bounded variation
Fourier series
Banach space
Author
Mahdi Hormozi
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
F. Prus-Wisniowski
Uniwersytet Szczecinski
Hjalmar Rosengren
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Journal of Mathematical Analysis and Applications
0022-247X (ISSN) 1096-0813 (eISSN)
Vol. 419 1 428-432Roots
Basic sciences
Subject Categories (SSIF 2011)
Mathematical Analysis
DOI
10.1016/j.jmaa.2014.03.096