Recent results on truncated Toeplitz operators
  Truncated Toeplitz operators are compressions of Toeplitz operators on model spaces; they have received much attention in the last years. This survey article presents several recent results, which relate boundedness, compactness, and spectra of these operators to properties of their symbols. We also connect these facts with properties of the natural embedding measures associated to these operators. 
Isabelle Chalendar, Emmanuel Fricain, Dan Timotin
math.FA