Hardy-Littlewood Maximal Operator And $BL{O}^{1/\log }$ Class of Exponents

Tengiz Kopaliani, Shalva Zviadadze

It is well known that if Hardy-Littlewood maximal operator is bounded in space $L^{p(\cdot )}[0;1]$ then $1/p(\cdot )\in BM{O}^{1/\log }$. On the other hand if $p(\cdot)\in BMO^{1/\log}…