Bourgain's K-closedness technique is transferred to semicommutative harmonic analysis via a semicommutative Calderón-Zygmund decomposition, recovering Pisier's Hardy-space result and producing new Sobolev interpolation theorems.
A note on pisier’s method in interpolation of abstract hardy spaces
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Bourgain's method for K-closedness in the semicommmutative setting
Bourgain's K-closedness technique is transferred to semicommutative harmonic analysis via a semicommutative Calderón-Zygmund decomposition, recovering Pisier's Hardy-space result and producing new Sobolev interpolation theorems.