Full paper in PDF:
$%E. Pustylnik, Real interpolation for non-distant Marcinkiewicz spaces, Rev. Mat. Complut. 14 (2001), no. 1, 127143.%$

Real Interpolation for Non-Distant Marcinkiewicz Spaces
Department of Mathematics
Technion-Israel Institute of Technology
Haifa 32000 — Israel
Received: June 26, 2000
Revised: October 19, 2000


We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t1/q(  e)
 ln ta with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from Pustylnik (1999), concerning spaces L oo ,a,E.

Key words: weak type interpolation, optimal interpolation, spaces of Lorentz-Zygmund type.

2000 Mathematics Subject Classification: 46B70, 46E30.