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Izvestiya: Mathematics, 2014, Volume 78, Issue 3, Pages 580–595
DOI: https://doi.org/10.1070/IM2014v078n03ABEH002699 (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
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DOI: https://doi.org/10.1070/IM2014v078n03ABEH002699
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.
Received: 21.01.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 3, Pages 161–176
DOI: https://doi.org/10.4213/im8096
Bibliographic databases:
Document Type: Article
UDC: 517.444
MSC: 26B35, 43A80, 53C65
Language: English
Original paper language: Russian
Citation: O. A. Ochakovskaya, “Radial majorants of functions with zero integrals over balls of a fixed radius”, Izv. RAN. Ser. Mat., 78:3 (2014), 161–176; Izv. Math., 78:3 (2014), 580–595
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v78/i3/p161
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:296
    Russian version PDF:141
    English version PDF:15
    References:36
    First page:11
     
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