So far no complete characterization of compact difference of composition operators between Hardy spaces exists. Motivated by the fact that order-bounded composition operators are also helpful in describing compact composition… Click to show full abstract
So far no complete characterization of compact difference of composition operators between Hardy spaces exists. Motivated by the fact that order-bounded composition operators are also helpful in describing compact composition operators on Hardy spaces, see Hunziker and Jarchow (Math Nachr 152:83–99, 1991), we characterize order bounded difference of weighted composition operators acting between these spaces.
               
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