Toeplitz Type Operators on the Hardy-Orlicz Space

In this article, we consider Toeplitz type operators and Hankel type operators in the Hardy-Orlicz space H_φ (Ω) and find a condition for the symbol so that they behave well on H_φ (Ω). Furthermore, we will show that Gleason's problem is solved affirmatively in some Hardy-Orlicz spaces.

Keywords:

• Hardy-Orlicz Spaces
• Toeplitz Type Operator
• Hankel Type Operator
• Gleason's Problem