|
Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 1, Pages 87–106
(Mi jmag191)
|
|
|
|
Spaces of holomorphic almost periodic functions on a strip
S. Yu. Favorov, O. I. Udodova Department of Mechanics and Mathematics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
Abstract:
The notions of almost periodicity in the sense of Weyl and Besicovitch of the order $p\ge 1$ are extended to holomorphic functions on a strip. We prove that the spaces of holomorphic almost periodic functions in the sense of Weyl for various orders $p$ are the same. These spaces are considerably wider than the space of holomorphic uniformly almost periodic functions and considerably narrower than the spaces of holomorphic almost periodic functions in the sense of Besicovitch. Besides we construct examples showing that the spaces of holomorphic almost periodic functions in the sense of Besicovitch for various orders $p$ are all different.
Received: 31.03.2003
Citation:
S. Yu. Favorov, O. I. Udodova, “Spaces of holomorphic almost periodic functions on a strip”, Mat. Fiz. Anal. Geom., 11:1 (2004), 87–106
Linking options:
https://www.mathnet.ru/eng/jmag191 https://www.mathnet.ru/eng/jmag/v11/i1/p87
|
Statistics & downloads: |
Abstract page: | 151 | Full-text PDF : | 42 |
|