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JOURNALS
// Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
// Archive
Izv. RAN. Ser. Mat.,
2014
Volume 78,
Issue 3,
Pages
161–176
(Mi im8096)
Radial majorants of functions with zero integrals over balls of a fixed radius
O. A. Ochakovskaya
Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk
Abstract:
We study the problem of the existence of a non-zero function with a given radial majorant and zero integrals over all balls of a fixed radius. We consider the case when the function is defined in a domain containing a half-space.
Keywords:
spherical means, mean periodicity.
UDC:
517.444
MSC:
26B35
,
43A80
,
53C65
Received:
21.01.2013
DOI:
10.4213/im8096
Fulltext:
PDF file (542 kB)
References
English version:
Izvestiya: Mathematics, 2014,
78
:3,
580–595
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024