We proved the noncommutative analogue of Calderón's result for fully symmetric spaces $$E_1$$ and $$E_2$$ on (0, 1) and for a finite von Neumann algebra $${{\mathcal {M}}}$$ . We also proved the noncommutative symmetric Hardy space's analogue of Calderón's result for fully symmetric spaces and for finite subdiagonal subalgebras.