We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t1/q (ln (e/t)a with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from [7], concerning spaces L∞,a,E.
@article{urn:eudml:doc:44462, title = {Real interpolation for non-distant Marcinkiewicz spaces.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {14}, year = {2001}, pages = {127-143}, zbl = {1001.46010}, mrnumber = {MR1851726}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44462} }
Pustylnik, Evgeniy. Real interpolation for non-distant Marcinkiewicz spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 127-143. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44462/