Abstract
The zero product problem and the commuting problem for Toeplitz operators on the Bergman space over the unit disk are some of the most in- teresting unsolved problems. For bounded harmonic symbols these are solved but for general bounded symbols it is still far from being complete. This paper shows that the zero product problem holds for a special case where one of the symbols has certain polar decomposition and the other is a general bounded symbol. We also prove that the commutant of Tz+z is sum of powers of itself. Mathematics Subject Classification (2000). Primary 47B35; Secondary 47L80.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
