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* If ''T'' is a quasilinear operator of weak type (''p''<sub>0</sub>, ''q''<sub>0</sub>) and of weak type (''p''<sub>1</sub>, ''q''<sub>1</sub>) where ''q''<sub>0</sub> ≠ ''q''<sub>1</sub>, then for each θ ∈ (0,1), ''T'' is of type (''p'',''q''), for ''p'' and ''q'' with ''p'' ≤ ''q'' of the form
:<math>\frac{1}{p} = \frac{1-\theta}{p_0}+\frac{\theta}{p_1},\quad \frac{1}{q} = \frac{1-\theta}{q_0} + \frac{\theta}{q_1}.</math>
The latter formulation follows from the former through an application of [[Hölder's inequality]] and a duality argument.{{Citation needed|reason=How to use Hölder's inequality and the special case?|date=June 2016}}
==Applications and examples==
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