For BMOA symbols g1 and g2, the meromorphic optimal domains (T_{g1},H^p) and (T_{g2},H^p) coincide exactly when each symbol is the other symbol integrated against a bounded analytic function, with the two functions reciprocals.
An integra l operator on H p
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Meromorphic Optimal domain of Integral Operators
For BMOA symbols g1 and g2, the meromorphic optimal domains (T_{g1},H^p) and (T_{g2},H^p) coincide exactly when each symbol is the other symbol integrated against a bounded analytic function, with the two functions reciprocals.