Minimax $L_2$-Separation Rate in Testing the Sobolev-Type Regularity of a function

Maurilio Gutzeit

In this paper we study the problem of testing if an $L_2-$function $f$ belonging to a certain $l_2$-Sobolev-ball $B_t(R)$ of radius $R>0$ with smoothness level $t>0$ indeed exhibit…