Browsing Issue No22-2020 - العدد الثاني والعشرين by Subject "Dyadic decomposition, Littlewood-Paley operators, radial functions, space of Schwartz, Bernstein inequality"
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On the Bernstein inequality
(2020-06-15)Chemin[1], proved the inequality of Bernstein for any tempered distribution u. In this paper, we will extend its proof for a bloc dyadic ∆ ̇_q u and S_q u. We will use the Fourier transform and apply the Yong inequality ...