Given a quasi-subaditive operator , we want to study mapping properties of interpolation type for which the following modular inequality holds
where and are modular functions. These results generalize the Marcinkiewicz interpolation theorem.
María J. CARRO. Ludmila NIKOLOVA. "Some extensions of the Marcinkiewicz interpolation theorem in terms of modular inequalities." J. Math. Soc. Japan 55 (2) 385 - 394, April, 2003. https://doi.org/10.2969/jmsj/1191419122