Tightness in Besov-Orlicz spaces: characterizations and applications (Q311066)

The paper deals with Besov-Orlicz spaces consisting of continuous functions on \([0,1]\), endowed with the norm NEWLINE\[NEWLINE\| f \|_M+\sup_{0<t<1} \frac{\omega_M (f,t)}{\omega_{\mu, \nu} (t)}, NEWLINE\]NEWLINE where \(M\) refers to an Orlicz space, NEWLINE\[NEWLINE \omega_M (f,t)=\sup_{0<h\leq t}\|\Delta_h f \|_M NEWLINE\]NEWLINE with the first differences and NEWLINE\[NEWLINE \omega_{\mu,\nu}(t)=t^\mu\big(1+|\log t|\big)^\nu, NEWLINE\]NEWLINE \(0<\mu<1\), \(\nu>0\).