A. Mukanov, “Integrability of the Fourier transforms of $\alpha$-monotone functions”, Eurasian Math. J., 2015, том 6, номер 1,страницы 132

Short communications

Integrability of the Fourier transforms of $\alpha$-monotone functions

A. Mukanov

Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpaev St., 010008 Astana, Kazakhstan

Аннотация: We define a class of $\alpha$-monotone functions. We study of integrability conditions of the Fourier transforms of functions from this class.

Ключевые слова и фразы: Fourier transform, Lorentz spaces, $\alpha$-monotone functions, fractional integral.

MSC: 42B10

Поступила в редакцию: 10.02.2015

Язык публикации: английский