Does there exist a function in $B_{\infty,1}^{1/2}\setminus H^{1/2}$?

70 Views Asked by At

Does there exist a function in $B_{\infty,1}^{1/2}([0,1])\setminus H^{1/2}([0,1])$? If so can it be constructed explicitly?

A reference will be much appreciated.