Full paper in PDF:
$%E. Pustylnik, Real interpolation for non-distant Marcinkiewicz spaces, Rev. Mat. Complut. 14
(2001), no. 1, 127–143.%$
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ABSTRACT
We describe the real interpolation spaces between given Marcinkiewicz spaces
that have fundamental functions of the form t1/q with the same
exponent q. The spaces thus obtained are used for the proof of optimal
interpolation theorem from Pustylnik (1999), concerning spaces L
,
,E.
Key words: weak type interpolation, optimal interpolation, spaces of Lorentz-Zygmund type.
2000 Mathematics Subject Classification: 46B70, 46E30.